Highest Common Factor of 3131, 9139 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 3131, 9139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3131, 9139 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 3131, 9139 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 3131, 9139 is 1.
HCF(3131, 9139) = 1
HCF of 3131, 9139 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3131, 9139 is 1.
Highest Common Factor of 3131,9139 is 1
Step 1: Since 9139 > 3131, we apply the division lemma to 9139 and 3131, to get
9139 = 3131 x 2 + 2877
Step 2: Since the reminder 3131 ≠ 0, we apply division lemma to 2877 and 3131, to get
3131 = 2877 x 1 + 254
Step 3: We consider the new divisor 2877 and the new remainder 254, and apply the division lemma to get
2877 = 254 x 11 + 83
We consider the new divisor 254 and the new remainder 83,and apply the division lemma to get
254 = 83 x 3 + 5
We consider the new divisor 83 and the new remainder 5,and apply the division lemma to get
83 = 5 x 16 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3131 and 9139 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(83,5) = HCF(254,83) = HCF(2877,254) = HCF(3131,2877) = HCF(9139,3131) .
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Frequently Asked Questions on HCF of 3131, 9139 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 3131, 9139?
Answer: HCF of 3131, 9139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3131, 9139 using Euclid's Algorithm?
Answer: For arbitrary numbers 3131, 9139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.