Highest Common Factor of 9426, 2612, 72229 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 9426, 2612, 72229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9426, 2612, 72229 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 9426, 2612, 72229 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 9426, 2612, 72229 is 1.

HCF(9426, 2612, 72229) = 1

HCF of 9426, 2612, 72229 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 9426, 2612, 72229 is 1.

Highest Common Factor of 9426,2612,72229 using Euclid's algorithm

Highest Common Factor of 9426,2612,72229 is 1

Step 1: Since 9426 > 2612, we apply the division lemma to 9426 and 2612, to get

9426 = 2612 x 3 + 1590

Step 2: Since the reminder 2612 ≠ 0, we apply division lemma to 1590 and 2612, to get

2612 = 1590 x 1 + 1022

Step 3: We consider the new divisor 1590 and the new remainder 1022, and apply the division lemma to get

1590 = 1022 x 1 + 568

We consider the new divisor 1022 and the new remainder 568,and apply the division lemma to get

1022 = 568 x 1 + 454

We consider the new divisor 568 and the new remainder 454,and apply the division lemma to get

568 = 454 x 1 + 114

We consider the new divisor 454 and the new remainder 114,and apply the division lemma to get

454 = 114 x 3 + 112

We consider the new divisor 114 and the new remainder 112,and apply the division lemma to get

114 = 112 x 1 + 2

We consider the new divisor 112 and the new remainder 2,and apply the division lemma to get

112 = 2 x 56 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9426 and 2612 is 2

Notice that 2 = HCF(112,2) = HCF(114,112) = HCF(454,114) = HCF(568,454) = HCF(1022,568) = HCF(1590,1022) = HCF(2612,1590) = HCF(9426,2612) .

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

Step 1: Since 72229 > 2, we apply the division lemma to 72229 and 2, to get

72229 = 2 x 36114 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 72229 is 1

Notice that 1 = HCF(2,1) = HCF(72229,2) .

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Frequently Asked Questions on HCF of 9426, 2612, 72229 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 9426, 2612, 72229?

Answer: HCF of 9426, 2612, 72229 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9426, 2612, 72229 using Euclid's Algorithm?

Answer: For arbitrary numbers 9426, 2612, 72229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.