Highest Common Factor of 5270, 6570 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 5270, 6570 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5270, 6570 is 10 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 5270, 6570 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 5270, 6570 is 10.
HCF(5270, 6570) = 10
HCF of 5270, 6570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5270, 6570 is 10.
Highest Common Factor of 5270,6570 is 10
Step 1: Since 6570 > 5270, we apply the division lemma to 6570 and 5270, to get
6570 = 5270 x 1 + 1300
Step 2: Since the reminder 5270 ≠ 0, we apply division lemma to 1300 and 5270, to get
5270 = 1300 x 4 + 70
Step 3: We consider the new divisor 1300 and the new remainder 70, and apply the division lemma to get
1300 = 70 x 18 + 40
We consider the new divisor 70 and the new remainder 40,and apply the division lemma to get
70 = 40 x 1 + 30
We consider the new divisor 40 and the new remainder 30,and apply the division lemma to get
40 = 30 x 1 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 5270 and 6570 is 10
Notice that 10 = HCF(30,10) = HCF(40,30) = HCF(70,40) = HCF(1300,70) = HCF(5270,1300) = HCF(6570,5270) .
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Frequently Asked Questions on HCF of 5270, 6570 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 5270, 6570?
Answer: HCF of 5270, 6570 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5270, 6570 using Euclid's Algorithm?
Answer: For arbitrary numbers 5270, 6570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.