Highest Common Factor of 644, 4494 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, 4494 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 4494 is 14 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, 4494 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, 4494 is 14.
HCF(644, 4494) = 14
HCF of 644, 4494 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, 4494 is 14.
Highest Common Factor of 644,4494 is 14
Step 1: Since 4494 > 644, we apply the division lemma to 4494 and 644, to get
4494 = 644 x 6 + 630
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 630 and 644, to get
644 = 630 x 1 + 14
Step 3: We consider the new divisor 630 and the new remainder 14, and apply the division lemma to get
630 = 14 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 644 and 4494 is 14
Notice that 14 = HCF(630,14) = HCF(644,630) = HCF(4494,644) .
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Frequently Asked Questions on HCF of 644, 4494 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, 4494?
Answer: HCF of 644, 4494 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 4494 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 4494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
