Highest Common Factor of 485, 1656, 9613 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 485, 1656, 9613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 485, 1656, 9613 is 1 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 485, 1656, 9613 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 485, 1656, 9613 is 1.

HCF(485, 1656, 9613) = 1

HCF of 485, 1656, 9613 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 485, 1656, 9613 is 1.

Highest Common Factor of 485,1656,9613 using Euclid's algorithm

Highest Common Factor of 485,1656,9613 is 1

Step 1: Since 1656 > 485, we apply the division lemma to 1656 and 485, to get

1656 = 485 x 3 + 201

Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 201 and 485, to get

485 = 201 x 2 + 83

Step 3: We consider the new divisor 201 and the new remainder 83, and apply the division lemma to get

201 = 83 x 2 + 35

We consider the new divisor 83 and the new remainder 35,and apply the division lemma to get

83 = 35 x 2 + 13

We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get

35 = 13 x 2 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 1656 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(83,35) = HCF(201,83) = HCF(485,201) = HCF(1656,485) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 9613 > 1, we apply the division lemma to 9613 and 1, to get

9613 = 1 x 9613 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9613 is 1

Notice that 1 = HCF(9613,1) .

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Frequently Asked Questions on HCF of 485, 1656, 9613 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 485, 1656, 9613?

Answer: HCF of 485, 1656, 9613 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 485, 1656, 9613 using Euclid's Algorithm?

Answer: For arbitrary numbers 485, 1656, 9613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.