Highest Common Factor of 3618, 7966 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 3618, 7966 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3618, 7966 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 3618, 7966 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 3618, 7966 is 2.
HCF(3618, 7966) = 2
HCF of 3618, 7966 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3618, 7966 is 2.
Highest Common Factor of 3618,7966 is 2
Step 1: Since 7966 > 3618, we apply the division lemma to 7966 and 3618, to get
7966 = 3618 x 2 + 730
Step 2: Since the reminder 3618 ≠ 0, we apply division lemma to 730 and 3618, to get
3618 = 730 x 4 + 698
Step 3: We consider the new divisor 730 and the new remainder 698, and apply the division lemma to get
730 = 698 x 1 + 32
We consider the new divisor 698 and the new remainder 32,and apply the division lemma to get
698 = 32 x 21 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3618 and 7966 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(698,32) = HCF(730,698) = HCF(3618,730) = HCF(7966,3618) .
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Frequently Asked Questions on HCF of 3618, 7966 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 3618, 7966?
Answer: HCF of 3618, 7966 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3618, 7966 using Euclid's Algorithm?
Answer: For arbitrary numbers 3618, 7966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.