Highest Common Factor of 636, 9166 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, 9166 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 9166 is 2 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, 9166 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, 9166 is 2.
HCF(636, 9166) = 2
HCF of 636, 9166 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, 9166 is 2.
Highest Common Factor of 636,9166 is 2
Step 1: Since 9166 > 636, we apply the division lemma to 9166 and 636, to get
9166 = 636 x 14 + 262
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 262 and 636, to get
636 = 262 x 2 + 112
Step 3: We consider the new divisor 262 and the new remainder 112, and apply the division lemma to get
262 = 112 x 2 + 38
We consider the new divisor 112 and the new remainder 38,and apply the division lemma to get
112 = 38 x 2 + 36
We consider the new divisor 38 and the new remainder 36,and apply the division lemma to get
38 = 36 x 1 + 2
We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get
36 = 2 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 636 and 9166 is 2
Notice that 2 = HCF(36,2) = HCF(38,36) = HCF(112,38) = HCF(262,112) = HCF(636,262) = HCF(9166,636) .
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Frequently Asked Questions on HCF of 636, 9166 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, 9166?
Answer: HCF of 636, 9166 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 9166 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 9166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.