Highest Common Factor of 9621, 6694 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 9621, 6694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9621, 6694 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 9621, 6694 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 9621, 6694 is 1.
HCF(9621, 6694) = 1
HCF of 9621, 6694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9621, 6694 is 1.
Highest Common Factor of 9621,6694 is 1
Step 1: Since 9621 > 6694, we apply the division lemma to 9621 and 6694, to get
9621 = 6694 x 1 + 2927
Step 2: Since the reminder 6694 ≠ 0, we apply division lemma to 2927 and 6694, to get
6694 = 2927 x 2 + 840
Step 3: We consider the new divisor 2927 and the new remainder 840, and apply the division lemma to get
2927 = 840 x 3 + 407
We consider the new divisor 840 and the new remainder 407,and apply the division lemma to get
840 = 407 x 2 + 26
We consider the new divisor 407 and the new remainder 26,and apply the division lemma to get
407 = 26 x 15 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9621 and 6694 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(407,26) = HCF(840,407) = HCF(2927,840) = HCF(6694,2927) = HCF(9621,6694) .
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Frequently Asked Questions on HCF of 9621, 6694 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 9621, 6694?
Answer: HCF of 9621, 6694 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9621, 6694 using Euclid's Algorithm?
Answer: For arbitrary numbers 9621, 6694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.