Highest Common Factor of 664, 8949, 9151 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 664, 8949, 9151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 664, 8949, 9151 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 664, 8949, 9151 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 664, 8949, 9151 is 1.

HCF(664, 8949, 9151) = 1

HCF of 664, 8949, 9151 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 664, 8949, 9151 is 1.

Highest Common Factor of 664,8949,9151 using Euclid's algorithm

Highest Common Factor of 664,8949,9151 is 1

Step 1: Since 8949 > 664, we apply the division lemma to 8949 and 664, to get

8949 = 664 x 13 + 317

Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 317 and 664, to get

664 = 317 x 2 + 30

Step 3: We consider the new divisor 317 and the new remainder 30, and apply the division lemma to get

317 = 30 x 10 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 664 and 8949 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(317,30) = HCF(664,317) = HCF(8949,664) .

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

Step 1: Since 9151 > 1, we apply the division lemma to 9151 and 1, to get

9151 = 1 x 9151 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9151 is 1

Notice that 1 = HCF(9151,1) .

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Frequently Asked Questions on HCF of 664, 8949, 9151 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 664, 8949, 9151?

Answer: HCF of 664, 8949, 9151 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 664, 8949, 9151 using Euclid's Algorithm?

Answer: For arbitrary numbers 664, 8949, 9151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.