Highest Common Factor of 961, 6462 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 961, 6462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 961, 6462 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 961, 6462 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 961, 6462 is 1.
HCF(961, 6462) = 1
HCF of 961, 6462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 961, 6462 is 1.
Highest Common Factor of 961,6462 is 1
Step 1: Since 6462 > 961, we apply the division lemma to 6462 and 961, to get
6462 = 961 x 6 + 696
Step 2: Since the reminder 961 ≠ 0, we apply division lemma to 696 and 961, to get
961 = 696 x 1 + 265
Step 3: We consider the new divisor 696 and the new remainder 265, and apply the division lemma to get
696 = 265 x 2 + 166
We consider the new divisor 265 and the new remainder 166,and apply the division lemma to get
265 = 166 x 1 + 99
We consider the new divisor 166 and the new remainder 99,and apply the division lemma to get
166 = 99 x 1 + 67
We consider the new divisor 99 and the new remainder 67,and apply the division lemma to get
99 = 67 x 1 + 32
We consider the new divisor 67 and the new remainder 32,and apply the division lemma to get
67 = 32 x 2 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 961 and 6462 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(67,32) = HCF(99,67) = HCF(166,99) = HCF(265,166) = HCF(696,265) = HCF(961,696) = HCF(6462,961) .
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Frequently Asked Questions on HCF of 961, 6462 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 961, 6462?
Answer: HCF of 961, 6462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 961, 6462 using Euclid's Algorithm?
Answer: For arbitrary numbers 961, 6462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.