Highest Common Factor of 6701, 9671 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 6701, 9671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6701, 9671 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 6701, 9671 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 6701, 9671 is 1.
HCF(6701, 9671) = 1
HCF of 6701, 9671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6701, 9671 is 1.
Highest Common Factor of 6701,9671 is 1
Step 1: Since 9671 > 6701, we apply the division lemma to 9671 and 6701, to get
9671 = 6701 x 1 + 2970
Step 2: Since the reminder 6701 ≠ 0, we apply division lemma to 2970 and 6701, to get
6701 = 2970 x 2 + 761
Step 3: We consider the new divisor 2970 and the new remainder 761, and apply the division lemma to get
2970 = 761 x 3 + 687
We consider the new divisor 761 and the new remainder 687,and apply the division lemma to get
761 = 687 x 1 + 74
We consider the new divisor 687 and the new remainder 74,and apply the division lemma to get
687 = 74 x 9 + 21
We consider the new divisor 74 and the new remainder 21,and apply the division lemma to get
74 = 21 x 3 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6701 and 9671 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(74,21) = HCF(687,74) = HCF(761,687) = HCF(2970,761) = HCF(6701,2970) = HCF(9671,6701) .
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Frequently Asked Questions on HCF of 6701, 9671 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 6701, 9671?
Answer: HCF of 6701, 9671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6701, 9671 using Euclid's Algorithm?
Answer: For arbitrary numbers 6701, 9671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.