Highest Common Factor of 9877, 6241 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 9877, 6241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9877, 6241 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 9877, 6241 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 9877, 6241 is 1.
HCF(9877, 6241) = 1
HCF of 9877, 6241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9877, 6241 is 1.
Highest Common Factor of 9877,6241 is 1
Step 1: Since 9877 > 6241, we apply the division lemma to 9877 and 6241, to get
9877 = 6241 x 1 + 3636
Step 2: Since the reminder 6241 ≠ 0, we apply division lemma to 3636 and 6241, to get
6241 = 3636 x 1 + 2605
Step 3: We consider the new divisor 3636 and the new remainder 2605, and apply the division lemma to get
3636 = 2605 x 1 + 1031
We consider the new divisor 2605 and the new remainder 1031,and apply the division lemma to get
2605 = 1031 x 2 + 543
We consider the new divisor 1031 and the new remainder 543,and apply the division lemma to get
1031 = 543 x 1 + 488
We consider the new divisor 543 and the new remainder 488,and apply the division lemma to get
543 = 488 x 1 + 55
We consider the new divisor 488 and the new remainder 55,and apply the division lemma to get
488 = 55 x 8 + 48
We consider the new divisor 55 and the new remainder 48,and apply the division lemma to get
55 = 48 x 1 + 7
We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get
48 = 7 x 6 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9877 and 6241 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(55,48) = HCF(488,55) = HCF(543,488) = HCF(1031,543) = HCF(2605,1031) = HCF(3636,2605) = HCF(6241,3636) = HCF(9877,6241) .
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Frequently Asked Questions on HCF of 9877, 6241 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 9877, 6241?
Answer: HCF of 9877, 6241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9877, 6241 using Euclid's Algorithm?
Answer: For arbitrary numbers 9877, 6241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
