Highest Common Factor of 9641, 8875 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 9641, 8875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9641, 8875 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 9641, 8875 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 9641, 8875 is 1.
HCF(9641, 8875) = 1
HCF of 9641, 8875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9641, 8875 is 1.
Highest Common Factor of 9641,8875 is 1
Step 1: Since 9641 > 8875, we apply the division lemma to 9641 and 8875, to get
9641 = 8875 x 1 + 766
Step 2: Since the reminder 8875 ≠ 0, we apply division lemma to 766 and 8875, to get
8875 = 766 x 11 + 449
Step 3: We consider the new divisor 766 and the new remainder 449, and apply the division lemma to get
766 = 449 x 1 + 317
We consider the new divisor 449 and the new remainder 317,and apply the division lemma to get
449 = 317 x 1 + 132
We consider the new divisor 317 and the new remainder 132,and apply the division lemma to get
317 = 132 x 2 + 53
We consider the new divisor 132 and the new remainder 53,and apply the division lemma to get
132 = 53 x 2 + 26
We consider the new divisor 53 and the new remainder 26,and apply the division lemma to get
53 = 26 x 2 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9641 and 8875 is 1
Notice that 1 = HCF(26,1) = HCF(53,26) = HCF(132,53) = HCF(317,132) = HCF(449,317) = HCF(766,449) = HCF(8875,766) = HCF(9641,8875) .
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Frequently Asked Questions on HCF of 9641, 8875 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 9641, 8875?
Answer: HCF of 9641, 8875 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9641, 8875 using Euclid's Algorithm?
Answer: For arbitrary numbers 9641, 8875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
