Highest Common Factor of 636, 11776 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, 11776 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 11776 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, 11776 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, 11776 is 4.
HCF(636, 11776) = 4
HCF of 636, 11776 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, 11776 is 4.
Highest Common Factor of 636,11776 is 4
Step 1: Since 11776 > 636, we apply the division lemma to 11776 and 636, to get
11776 = 636 x 18 + 328
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 328 and 636, to get
636 = 328 x 1 + 308
Step 3: We consider the new divisor 328 and the new remainder 308, and apply the division lemma to get
328 = 308 x 1 + 20
We consider the new divisor 308 and the new remainder 20,and apply the division lemma to get
308 = 20 x 15 + 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 636 and 11776 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(308,20) = HCF(328,308) = HCF(636,328) = HCF(11776,636) .
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Frequently Asked Questions on HCF of 636, 11776 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, 11776?
Answer: HCF of 636, 11776 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 11776 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 11776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.