Highest Common Factor of 6557, 9812 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 6557, 9812 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6557, 9812 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 6557, 9812 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 6557, 9812 is 1.
HCF(6557, 9812) = 1
HCF of 6557, 9812 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6557, 9812 is 1.
Highest Common Factor of 6557,9812 is 1
Step 1: Since 9812 > 6557, we apply the division lemma to 9812 and 6557, to get
9812 = 6557 x 1 + 3255
Step 2: Since the reminder 6557 ≠ 0, we apply division lemma to 3255 and 6557, to get
6557 = 3255 x 2 + 47
Step 3: We consider the new divisor 3255 and the new remainder 47, and apply the division lemma to get
3255 = 47 x 69 + 12
We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get
47 = 12 x 3 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6557 and 9812 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(3255,47) = HCF(6557,3255) = HCF(9812,6557) .
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Frequently Asked Questions on HCF of 6557, 9812 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 6557, 9812?
Answer: HCF of 6557, 9812 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6557, 9812 using Euclid's Algorithm?
Answer: For arbitrary numbers 6557, 9812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.