Highest Common Factor of 6340, 6981 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 6340, 6981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6340, 6981 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 6340, 6981 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 6340, 6981 is 1.
HCF(6340, 6981) = 1
HCF of 6340, 6981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6340, 6981 is 1.
Highest Common Factor of 6340,6981 is 1
Step 1: Since 6981 > 6340, we apply the division lemma to 6981 and 6340, to get
6981 = 6340 x 1 + 641
Step 2: Since the reminder 6340 ≠ 0, we apply division lemma to 641 and 6340, to get
6340 = 641 x 9 + 571
Step 3: We consider the new divisor 641 and the new remainder 571, and apply the division lemma to get
641 = 571 x 1 + 70
We consider the new divisor 571 and the new remainder 70,and apply the division lemma to get
571 = 70 x 8 + 11
We consider the new divisor 70 and the new remainder 11,and apply the division lemma to get
70 = 11 x 6 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6340 and 6981 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(70,11) = HCF(571,70) = HCF(641,571) = HCF(6340,641) = HCF(6981,6340) .
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Frequently Asked Questions on HCF of 6340, 6981 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 6340, 6981?
Answer: HCF of 6340, 6981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6340, 6981 using Euclid's Algorithm?
Answer: For arbitrary numbers 6340, 6981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.