Highest Common Factor of 644, 4292 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 644, 4292 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 4292 is 4 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 644, 4292 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 644, 4292 is 4.
HCF(644, 4292) = 4
HCF of 644, 4292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 644, 4292 is 4.
Highest Common Factor of 644,4292 is 4
Step 1: Since 4292 > 644, we apply the division lemma to 4292 and 644, to get
4292 = 644 x 6 + 428
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 428 and 644, to get
644 = 428 x 1 + 216
Step 3: We consider the new divisor 428 and the new remainder 216, and apply the division lemma to get
428 = 216 x 1 + 212
We consider the new divisor 216 and the new remainder 212,and apply the division lemma to get
216 = 212 x 1 + 4
We consider the new divisor 212 and the new remainder 4,and apply the division lemma to get
212 = 4 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 644 and 4292 is 4
Notice that 4 = HCF(212,4) = HCF(216,212) = HCF(428,216) = HCF(644,428) = HCF(4292,644) .
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Frequently Asked Questions on HCF of 644, 4292 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 644, 4292?
Answer: HCF of 644, 4292 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 4292 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 4292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
