Highest Common Factor of 636, 5464 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 636, 5464 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 5464 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 636, 5464 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 636, 5464 is 4.
HCF(636, 5464) = 4
HCF of 636, 5464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 5464 is 4.
Highest Common Factor of 636,5464 is 4
Step 1: Since 5464 > 636, we apply the division lemma to 5464 and 636, to get
5464 = 636 x 8 + 376
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 376 and 636, to get
636 = 376 x 1 + 260
Step 3: We consider the new divisor 376 and the new remainder 260, and apply the division lemma to get
376 = 260 x 1 + 116
We consider the new divisor 260 and the new remainder 116,and apply the division lemma to get
260 = 116 x 2 + 28
We consider the new divisor 116 and the new remainder 28,and apply the division lemma to get
116 = 28 x 4 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 636 and 5464 is 4
Notice that 4 = HCF(28,4) = HCF(116,28) = HCF(260,116) = HCF(376,260) = HCF(636,376) = HCF(5464,636) .
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Frequently Asked Questions on HCF of 636, 5464 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 636, 5464?
Answer: HCF of 636, 5464 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 5464 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 5464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.