Highest Common Factor of 8139, 6187 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 8139, 6187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8139, 6187 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 8139, 6187 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 8139, 6187 is 1.
HCF(8139, 6187) = 1
HCF of 8139, 6187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8139, 6187 is 1.
Highest Common Factor of 8139,6187 is 1
Step 1: Since 8139 > 6187, we apply the division lemma to 8139 and 6187, to get
8139 = 6187 x 1 + 1952
Step 2: Since the reminder 6187 ≠ 0, we apply division lemma to 1952 and 6187, to get
6187 = 1952 x 3 + 331
Step 3: We consider the new divisor 1952 and the new remainder 331, and apply the division lemma to get
1952 = 331 x 5 + 297
We consider the new divisor 331 and the new remainder 297,and apply the division lemma to get
331 = 297 x 1 + 34
We consider the new divisor 297 and the new remainder 34,and apply the division lemma to get
297 = 34 x 8 + 25
We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get
34 = 25 x 1 + 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 8139 and 6187 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(297,34) = HCF(331,297) = HCF(1952,331) = HCF(6187,1952) = HCF(8139,6187) .
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Frequently Asked Questions on HCF of 8139, 6187 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 8139, 6187?
Answer: HCF of 8139, 6187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8139, 6187 using Euclid's Algorithm?
Answer: For arbitrary numbers 8139, 6187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.