Highest Common Factor of 953, 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 953, 6570 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 953, 6570 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 953, 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 953, 6570 is 1.
HCF(953, 6570) = 1
HCF of 953, 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 953, 6570 is 1.
Highest Common Factor of 953,6570 is 1
Step 1: Since 6570 > 953, we apply the division lemma to 6570 and 953, to get
6570 = 953 x 6 + 852
Step 2: Since the reminder 953 ≠ 0, we apply division lemma to 852 and 953, to get
953 = 852 x 1 + 101
Step 3: We consider the new divisor 852 and the new remainder 101, and apply the division lemma to get
852 = 101 x 8 + 44
We consider the new divisor 101 and the new remainder 44,and apply the division lemma to get
101 = 44 x 2 + 13
We consider the new divisor 44 and the new remainder 13,and apply the division lemma to get
44 = 13 x 3 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 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 953 and 6570 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(44,13) = HCF(101,44) = HCF(852,101) = HCF(953,852) = HCF(6570,953) .
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Frequently Asked Questions on HCF of 953, 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 953, 6570?
Answer: HCF of 953, 6570 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 953, 6570 using Euclid's Algorithm?
Answer: For arbitrary numbers 953, 6570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.