Highest Common Factor of 644, 61580 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, 61580 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 61580 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, 61580 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, 61580 is 4.
HCF(644, 61580) = 4
HCF of 644, 61580 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, 61580 is 4.
Highest Common Factor of 644,61580 is 4
Step 1: Since 61580 > 644, we apply the division lemma to 61580 and 644, to get
61580 = 644 x 95 + 400
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 400 and 644, to get
644 = 400 x 1 + 244
Step 3: We consider the new divisor 400 and the new remainder 244, and apply the division lemma to get
400 = 244 x 1 + 156
We consider the new divisor 244 and the new remainder 156,and apply the division lemma to get
244 = 156 x 1 + 88
We consider the new divisor 156 and the new remainder 88,and apply the division lemma to get
156 = 88 x 1 + 68
We consider the new divisor 88 and the new remainder 68,and apply the division lemma to get
88 = 68 x 1 + 20
We consider the new divisor 68 and the new remainder 20,and apply the division lemma to get
68 = 20 x 3 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 644 and 61580 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(68,20) = HCF(88,68) = HCF(156,88) = HCF(244,156) = HCF(400,244) = HCF(644,400) = HCF(61580,644) .
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Frequently Asked Questions on HCF of 644, 61580 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, 61580?
Answer: HCF of 644, 61580 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 61580 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 61580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.