Highest Common Factor of 637, 8220 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 637, 8220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 637, 8220 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 637, 8220 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 637, 8220 is 1.
HCF(637, 8220) = 1
HCF of 637, 8220 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 637, 8220 is 1.
Highest Common Factor of 637,8220 is 1
Step 1: Since 8220 > 637, we apply the division lemma to 8220 and 637, to get
8220 = 637 x 12 + 576
Step 2: Since the reminder 637 ≠ 0, we apply division lemma to 576 and 637, to get
637 = 576 x 1 + 61
Step 3: We consider the new divisor 576 and the new remainder 61, and apply the division lemma to get
576 = 61 x 9 + 27
We consider the new divisor 61 and the new remainder 27,and apply the division lemma to get
61 = 27 x 2 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 637 and 8220 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(61,27) = HCF(576,61) = HCF(637,576) = HCF(8220,637) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 637, 8220 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 637, 8220?
Answer: HCF of 637, 8220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 637, 8220 using Euclid's Algorithm?
Answer: For arbitrary numbers 637, 8220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
