Highest Common Factor of 7660, 6701 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 7660, 6701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7660, 6701 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 7660, 6701 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 7660, 6701 is 1.
HCF(7660, 6701) = 1
HCF of 7660, 6701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7660, 6701 is 1.
Highest Common Factor of 7660,6701 is 1
Step 1: Since 7660 > 6701, we apply the division lemma to 7660 and 6701, to get
7660 = 6701 x 1 + 959
Step 2: Since the reminder 6701 ≠ 0, we apply division lemma to 959 and 6701, to get
6701 = 959 x 6 + 947
Step 3: We consider the new divisor 959 and the new remainder 947, and apply the division lemma to get
959 = 947 x 1 + 12
We consider the new divisor 947 and the new remainder 12,and apply the division lemma to get
947 = 12 x 78 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7660 and 6701 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(947,12) = HCF(959,947) = HCF(6701,959) = HCF(7660,6701) .
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Frequently Asked Questions on HCF of 7660, 6701 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 7660, 6701?
Answer: HCF of 7660, 6701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7660, 6701 using Euclid's Algorithm?
Answer: For arbitrary numbers 7660, 6701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.