Highest Common Factor of 2570, 6397 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 2570, 6397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2570, 6397 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 2570, 6397 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 2570, 6397 is 1.
HCF(2570, 6397) = 1
HCF of 2570, 6397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2570, 6397 is 1.
Highest Common Factor of 2570,6397 is 1
Step 1: Since 6397 > 2570, we apply the division lemma to 6397 and 2570, to get
6397 = 2570 x 2 + 1257
Step 2: Since the reminder 2570 ≠ 0, we apply division lemma to 1257 and 2570, to get
2570 = 1257 x 2 + 56
Step 3: We consider the new divisor 1257 and the new remainder 56, and apply the division lemma to get
1257 = 56 x 22 + 25
We consider the new divisor 56 and the new remainder 25,and apply the division lemma to get
56 = 25 x 2 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 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 2570 and 6397 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(56,25) = HCF(1257,56) = HCF(2570,1257) = HCF(6397,2570) .
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Frequently Asked Questions on HCF of 2570, 6397 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 2570, 6397?
Answer: HCF of 2570, 6397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2570, 6397 using Euclid's Algorithm?
Answer: For arbitrary numbers 2570, 6397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.