Highest Common Factor of 2634, 9339, 14422 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 2634, 9339, 14422 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2634, 9339, 14422 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 2634, 9339, 14422 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 2634, 9339, 14422 is 1.

HCF(2634, 9339, 14422) = 1

HCF of 2634, 9339, 14422 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 2634, 9339, 14422 is 1.

Highest Common Factor of 2634,9339,14422 using Euclid's algorithm

Highest Common Factor of 2634,9339,14422 is 1

Step 1: Since 9339 > 2634, we apply the division lemma to 9339 and 2634, to get

9339 = 2634 x 3 + 1437

Step 2: Since the reminder 2634 ≠ 0, we apply division lemma to 1437 and 2634, to get

2634 = 1437 x 1 + 1197

Step 3: We consider the new divisor 1437 and the new remainder 1197, and apply the division lemma to get

1437 = 1197 x 1 + 240

We consider the new divisor 1197 and the new remainder 240,and apply the division lemma to get

1197 = 240 x 4 + 237

We consider the new divisor 240 and the new remainder 237,and apply the division lemma to get

240 = 237 x 1 + 3

We consider the new divisor 237 and the new remainder 3,and apply the division lemma to get

237 = 3 x 79 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2634 and 9339 is 3

Notice that 3 = HCF(237,3) = HCF(240,237) = HCF(1197,240) = HCF(1437,1197) = HCF(2634,1437) = HCF(9339,2634) .

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

Step 1: Since 14422 > 3, we apply the division lemma to 14422 and 3, to get

14422 = 3 x 4807 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 14422 is 1

Notice that 1 = HCF(3,1) = HCF(14422,3) .

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Frequently Asked Questions on HCF of 2634, 9339, 14422 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 2634, 9339, 14422?

Answer: HCF of 2634, 9339, 14422 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2634, 9339, 14422 using Euclid's Algorithm?

Answer: For arbitrary numbers 2634, 9339, 14422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.