Highest Common Factor of 966, 636 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 966, 636 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 966, 636 is 6 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 966, 636 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 966, 636 is 6.
HCF(966, 636) = 6
HCF of 966, 636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 966, 636 is 6.
Highest Common Factor of 966,636 is 6
Step 1: Since 966 > 636, we apply the division lemma to 966 and 636, to get
966 = 636 x 1 + 330
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 330 and 636, to get
636 = 330 x 1 + 306
Step 3: We consider the new divisor 330 and the new remainder 306, and apply the division lemma to get
330 = 306 x 1 + 24
We consider the new divisor 306 and the new remainder 24,and apply the division lemma to get
306 = 24 x 12 + 18
We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get
24 = 18 x 1 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 966 and 636 is 6
Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(306,24) = HCF(330,306) = HCF(636,330) = HCF(966,636) .
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Frequently Asked Questions on HCF of 966, 636 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 966, 636?
Answer: HCF of 966, 636 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 966, 636 using Euclid's Algorithm?
Answer: For arbitrary numbers 966, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.