Web>> Find the HCF of 867 and 255 using Euclid. Question . Find the HCF of 8 6 7 and 2 5 5 using Euclid theorem. A. 5 0. B. 5 1. C. 5 2. D. 5 3. Medium. Open in App. Solution. ... Find the HCF of 861 and 1353, using Euclid's algorithm. Medium. View solution > Find the HCF of 1 6 5 6 and 4 0 2 5 by Euclids division theorem . Medium. WebMar 23, 2024 · If g is the HCF of a and b then g must divide both a and b and the quotients obtained on dividing a by g and b by g should be coprime. We have $867=51\times 17$ and $255=51\times 5$ Hence 51 divides 867 and 255. Also 17 and 5 are distinct primes and hence are coprime to each other. Hence 51 is the HCF of 867 and 255.
Euclid’s Division Algorithm Theorem with Proof & Examples
WebJan 22, 2024 · Now, we have two numbers 867 and 255. So, we can write, 867 = 255 ( 3) + 102 s t e p − 1. Now, on the basis of the Euclid division algorithm, if the HCF (call it x) is a factor of 867 and 255, it must also be a factor of the remainder. So, again we apply division lemma. 255 = 102 ( 2) + 51 s t e p − 2. Now, again we apply Euclid division lemma. WebAnswers (1) 867 > 225. Applying Euclid's Division algorithm we get. since remainder 0 we apply the algorithm again. since 255 > 102. since remainder 0 we apply the algorithm again. since 102 > 51. since remainder = 0 we conclude the HCF of 867 and 255 is 51. Posted by. my computer monitor won\u0027t come on
HCF of 255 and 867 How to Find HCF of 255 and 867
WebApr 6, 2024 · HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 255, 867 i.e. 51 the largest integer that leaves a remainder zero for all numbers. HCF of 255, 867 is 51 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of … WebMar 14, 2024 · Example 1: Find the HCF of 867 and 255. Solution: 867 and 255 are the given integers. When we compare, we see that 867 > 255. We get 867 = 225 x 3 + 192 by applying Euclid’s division lemma to 867 and 225. Because the remainder is 192, So we divide 225 by the division lemma and get the remainder. We get, 225 = 192 x 1 + 33 WebFind the GCF of: enter two or more whole numbers separated by commas or spaces. Answer: GCF = 4 for the values 8, 12, 20 Solution by Factorization: The factors of 8 are: 1, 2, 4, 8 The factors of 12 are: 1, 2, … officejet pro 6830 user manual