Highest Common Factor of 5708, 6131 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 5708, 6131 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5708, 6131 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 5708, 6131 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 5708, 6131 is 1.
HCF(5708, 6131) = 1
HCF of 5708, 6131 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5708, 6131 is 1.
Highest Common Factor of 5708,6131 is 1
Step 1: Since 6131 > 5708, we apply the division lemma to 6131 and 5708, to get
6131 = 5708 x 1 + 423
Step 2: Since the reminder 5708 ≠ 0, we apply division lemma to 423 and 5708, to get
5708 = 423 x 13 + 209
Step 3: We consider the new divisor 423 and the new remainder 209, and apply the division lemma to get
423 = 209 x 2 + 5
We consider the new divisor 209 and the new remainder 5,and apply the division lemma to get
209 = 5 x 41 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5708 and 6131 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(209,5) = HCF(423,209) = HCF(5708,423) = HCF(6131,5708) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5708, 6131 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 5708, 6131?
Answer: HCF of 5708, 6131 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5708, 6131 using Euclid's Algorithm?
Answer: For arbitrary numbers 5708, 6131 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.