Highest Common Factor of 9618, 3380 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 9618, 3380 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9618, 3380 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 9618, 3380 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 9618, 3380 is 2.
HCF(9618, 3380) = 2
HCF of 9618, 3380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9618, 3380 is 2.
Highest Common Factor of 9618,3380 is 2
Step 1: Since 9618 > 3380, we apply the division lemma to 9618 and 3380, to get
9618 = 3380 x 2 + 2858
Step 2: Since the reminder 3380 ≠ 0, we apply division lemma to 2858 and 3380, to get
3380 = 2858 x 1 + 522
Step 3: We consider the new divisor 2858 and the new remainder 522, and apply the division lemma to get
2858 = 522 x 5 + 248
We consider the new divisor 522 and the new remainder 248,and apply the division lemma to get
522 = 248 x 2 + 26
We consider the new divisor 248 and the new remainder 26,and apply the division lemma to get
248 = 26 x 9 + 14
We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get
26 = 14 x 1 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9618 and 3380 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(248,26) = HCF(522,248) = HCF(2858,522) = HCF(3380,2858) = HCF(9618,3380) .
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Frequently Asked Questions on HCF of 9618, 3380 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 9618, 3380?
Answer: HCF of 9618, 3380 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9618, 3380 using Euclid's Algorithm?
Answer: For arbitrary numbers 9618, 3380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.