Highest Common Factor of 249, 644, 908 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 249, 644, 908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 249, 644, 908 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 249, 644, 908 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 249, 644, 908 is 1.

HCF(249, 644, 908) = 1

HCF of 249, 644, 908 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 249, 644, 908 is 1.

Highest Common Factor of 249,644,908 using Euclid's algorithm

Highest Common Factor of 249,644,908 is 1

Step 1: Since 644 > 249, we apply the division lemma to 644 and 249, to get

644 = 249 x 2 + 146

Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 146 and 249, to get

249 = 146 x 1 + 103

Step 3: We consider the new divisor 146 and the new remainder 103, and apply the division lemma to get

146 = 103 x 1 + 43

We consider the new divisor 103 and the new remainder 43,and apply the division lemma to get

103 = 43 x 2 + 17

We consider the new divisor 43 and the new remainder 17,and apply the division lemma to get

43 = 17 x 2 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 249 and 644 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(43,17) = HCF(103,43) = HCF(146,103) = HCF(249,146) = HCF(644,249) .

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

Step 1: Since 908 > 1, we apply the division lemma to 908 and 1, to get

908 = 1 x 908 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 908 is 1

Notice that 1 = HCF(908,1) .

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Frequently Asked Questions on HCF of 249, 644, 908 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 249, 644, 908?

Answer: HCF of 249, 644, 908 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 249, 644, 908 using Euclid's Algorithm?

Answer: For arbitrary numbers 249, 644, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.