Highest Common Factor of 9337, 2546, 26110 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 9337, 2546, 26110 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9337, 2546, 26110 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 9337, 2546, 26110 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 9337, 2546, 26110 is 1.

HCF(9337, 2546, 26110) = 1

HCF of 9337, 2546, 26110 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 9337, 2546, 26110 is 1.

Highest Common Factor of 9337,2546,26110 using Euclid's algorithm

Highest Common Factor of 9337,2546,26110 is 1

Step 1: Since 9337 > 2546, we apply the division lemma to 9337 and 2546, to get

9337 = 2546 x 3 + 1699

Step 2: Since the reminder 2546 ≠ 0, we apply division lemma to 1699 and 2546, to get

2546 = 1699 x 1 + 847

Step 3: We consider the new divisor 1699 and the new remainder 847, and apply the division lemma to get

1699 = 847 x 2 + 5

We consider the new divisor 847 and the new remainder 5,and apply the division lemma to get

847 = 5 x 169 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9337 and 2546 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(847,5) = HCF(1699,847) = HCF(2546,1699) = HCF(9337,2546) .

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

Step 1: Since 26110 > 1, we apply the division lemma to 26110 and 1, to get

26110 = 1 x 26110 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26110 is 1

Notice that 1 = HCF(26110,1) .

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Frequently Asked Questions on HCF of 9337, 2546, 26110 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 9337, 2546, 26110?

Answer: HCF of 9337, 2546, 26110 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9337, 2546, 26110 using Euclid's Algorithm?

Answer: For arbitrary numbers 9337, 2546, 26110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.