Highest Common Factor of 7956, 5274, 11041 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 7956, 5274, 11041 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7956, 5274, 11041 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 7956, 5274, 11041 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 7956, 5274, 11041 is 1.

HCF(7956, 5274, 11041) = 1

HCF of 7956, 5274, 11041 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 7956, 5274, 11041 is 1.

Highest Common Factor of 7956,5274,11041 using Euclid's algorithm

Highest Common Factor of 7956,5274,11041 is 1

Step 1: Since 7956 > 5274, we apply the division lemma to 7956 and 5274, to get

7956 = 5274 x 1 + 2682

Step 2: Since the reminder 5274 ≠ 0, we apply division lemma to 2682 and 5274, to get

5274 = 2682 x 1 + 2592

Step 3: We consider the new divisor 2682 and the new remainder 2592, and apply the division lemma to get

2682 = 2592 x 1 + 90

We consider the new divisor 2592 and the new remainder 90,and apply the division lemma to get

2592 = 90 x 28 + 72

We consider the new divisor 90 and the new remainder 72,and apply the division lemma to get

90 = 72 x 1 + 18

We consider the new divisor 72 and the new remainder 18,and apply the division lemma to get

72 = 18 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 7956 and 5274 is 18

Notice that 18 = HCF(72,18) = HCF(90,72) = HCF(2592,90) = HCF(2682,2592) = HCF(5274,2682) = HCF(7956,5274) .

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

Step 1: Since 11041 > 18, we apply the division lemma to 11041 and 18, to get

11041 = 18 x 613 + 7

Step 2: Since the reminder 18 ≠ 0, we apply division lemma to 7 and 18, to get

18 = 7 x 2 + 4

Step 3: We consider the new divisor 7 and the new remainder 4, and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 18 and 11041 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(11041,18) .

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Frequently Asked Questions on HCF of 7956, 5274, 11041 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 7956, 5274, 11041?

Answer: HCF of 7956, 5274, 11041 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7956, 5274, 11041 using Euclid's Algorithm?

Answer: For arbitrary numbers 7956, 5274, 11041 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.