Highest Common Factor of 6100, 8377 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 6100, 8377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6100, 8377 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 6100, 8377 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 6100, 8377 is 1.
HCF(6100, 8377) = 1
HCF of 6100, 8377 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6100, 8377 is 1.
Highest Common Factor of 6100,8377 is 1
Step 1: Since 8377 > 6100, we apply the division lemma to 8377 and 6100, to get
8377 = 6100 x 1 + 2277
Step 2: Since the reminder 6100 ≠ 0, we apply division lemma to 2277 and 6100, to get
6100 = 2277 x 2 + 1546
Step 3: We consider the new divisor 2277 and the new remainder 1546, and apply the division lemma to get
2277 = 1546 x 1 + 731
We consider the new divisor 1546 and the new remainder 731,and apply the division lemma to get
1546 = 731 x 2 + 84
We consider the new divisor 731 and the new remainder 84,and apply the division lemma to get
731 = 84 x 8 + 59
We consider the new divisor 84 and the new remainder 59,and apply the division lemma to get
84 = 59 x 1 + 25
We consider the new divisor 59 and the new remainder 25,and apply the division lemma to get
59 = 25 x 2 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6100 and 8377 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(59,25) = HCF(84,59) = HCF(731,84) = HCF(1546,731) = HCF(2277,1546) = HCF(6100,2277) = HCF(8377,6100) .
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Frequently Asked Questions on HCF of 6100, 8377 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 6100, 8377?
Answer: HCF of 6100, 8377 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6100, 8377 using Euclid's Algorithm?
Answer: For arbitrary numbers 6100, 8377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.