Use Euclid’s division algorithm to find the HCF of 255 and 867
Question
Use Euclid’s division algorithm to find the HCF of 255 and 867
Solution
To find the highest common factor (HCF) of 255 and 867 using Euclid's division algorithm, we need to follow these steps:
Step 1: Divide the larger number (867) by the smaller number (255). 867 ÷ 255 = 3 remainder 102
Step 2: Now, divide the previous divisor (255) by the remainder (102). 255 ÷ 102 = 2 remainder 51
Step 3: Repeat the process by dividing the previous divisor (102) by the remainder (51). 102 ÷ 51 = 2 remainder 0
Step 4: The remainder is now 0, which means we have found the HCF.
Therefore, the HCF of 255 and 867 is 51.
Similar Questions
Find the HCF of 135 and 255 using Euclid’s Division Algorithm.
using euclid division algorithm find the HCF of 112 and 248
Find the HCF of 10271027 and 237237 using Euclid’s Division lemma.
The product of two numbers is 231. If the HCF is 11, then their LCM isOptions :26212825
The HCF of 1020, 850 and 1156 is:
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.