Highest Common Factor of 644, 9996 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, 9996 i.e. 28 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 9996 is 28 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, 9996 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, 9996 is 28.
HCF(644, 9996) = 28
HCF of 644, 9996 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, 9996 is 28.
Highest Common Factor of 644,9996 is 28
Step 1: Since 9996 > 644, we apply the division lemma to 9996 and 644, to get
9996 = 644 x 15 + 336
Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 336 and 644, to get
644 = 336 x 1 + 308
Step 3: We consider the new divisor 336 and the new remainder 308, and apply the division lemma to get
336 = 308 x 1 + 28
We consider the new divisor 308 and the new remainder 28, and apply the division lemma to get
308 = 28 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 644 and 9996 is 28
Notice that 28 = HCF(308,28) = HCF(336,308) = HCF(644,336) = HCF(9996,644) .
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Frequently Asked Questions on HCF of 644, 9996 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, 9996?
Answer: HCF of 644, 9996 is 28 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 9996 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 9996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.