Highest Common Factor of 8956, 9607 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 8956, 9607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8956, 9607 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 8956, 9607 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 8956, 9607 is 1.
HCF(8956, 9607) = 1
HCF of 8956, 9607 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8956, 9607 is 1.
Highest Common Factor of 8956,9607 is 1
Step 1: Since 9607 > 8956, we apply the division lemma to 9607 and 8956, to get
9607 = 8956 x 1 + 651
Step 2: Since the reminder 8956 ≠ 0, we apply division lemma to 651 and 8956, to get
8956 = 651 x 13 + 493
Step 3: We consider the new divisor 651 and the new remainder 493, and apply the division lemma to get
651 = 493 x 1 + 158
We consider the new divisor 493 and the new remainder 158,and apply the division lemma to get
493 = 158 x 3 + 19
We consider the new divisor 158 and the new remainder 19,and apply the division lemma to get
158 = 19 x 8 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8956 and 9607 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(158,19) = HCF(493,158) = HCF(651,493) = HCF(8956,651) = HCF(9607,8956) .
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Frequently Asked Questions on HCF of 8956, 9607 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 8956, 9607?
Answer: HCF of 8956, 9607 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8956, 9607 using Euclid's Algorithm?
Answer: For arbitrary numbers 8956, 9607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.