Highest Common Factor of 642, 9630 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 642, 9630 i.e. 642 the largest integer that leaves a remainder zero for all numbers.
HCF of 642, 9630 is 642 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 642, 9630 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 642, 9630 is 642.
HCF(642, 9630) = 642
HCF of 642, 9630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 642, 9630 is 642.
Highest Common Factor of 642,9630 is 642
Step 1: Since 9630 > 642, we apply the division lemma to 9630 and 642, to get
9630 = 642 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 642, the HCF of 642 and 9630 is 642
Notice that 642 = HCF(9630,642) .
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Frequently Asked Questions on HCF of 642, 9630 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 642, 9630?
Answer: HCF of 642, 9630 is 642 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 642, 9630 using Euclid's Algorithm?
Answer: For arbitrary numbers 642, 9630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
