Highest Common Factor of 249, 2635, 5336 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, 2635, 5336 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 249, 2635, 5336 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, 2635, 5336 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, 2635, 5336 is 1.

HCF(249, 2635, 5336) = 1

HCF of 249, 2635, 5336 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, 2635, 5336 is 1.

Highest Common Factor of 249,2635,5336 using Euclid's algorithm

Highest Common Factor of 249,2635,5336 is 1

Step 1: Since 2635 > 249, we apply the division lemma to 2635 and 249, to get

2635 = 249 x 10 + 145

Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 145 and 249, to get

249 = 145 x 1 + 104

Step 3: We consider the new divisor 145 and the new remainder 104, and apply the division lemma to get

145 = 104 x 1 + 41

We consider the new divisor 104 and the new remainder 41,and apply the division lemma to get

104 = 41 x 2 + 22

We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get

41 = 22 x 1 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 249 and 2635 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(104,41) = HCF(145,104) = HCF(249,145) = HCF(2635,249) .

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

Step 1: Since 5336 > 1, we apply the division lemma to 5336 and 1, to get

5336 = 1 x 5336 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5336 is 1

Notice that 1 = HCF(5336,1) .

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Frequently Asked Questions on HCF of 249, 2635, 5336 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, 2635, 5336?

Answer: HCF of 249, 2635, 5336 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 249, 2635, 5336 using Euclid's Algorithm?

Answer: For arbitrary numbers 249, 2635, 5336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.