Highest Common Factor of 5762, 9419 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 5762, 9419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5762, 9419 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 5762, 9419 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 5762, 9419 is 1.

HCF(5762, 9419) = 1

HCF of 5762, 9419 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5762, 9419 is 1.

Highest Common Factor of 5762,9419 using Euclid's algorithm

Highest Common Factor of 5762,9419 is 1

Step 1: Since 9419 > 5762, we apply the division lemma to 9419 and 5762, to get

9419 = 5762 x 1 + 3657

Step 2: Since the reminder 5762 ≠ 0, we apply division lemma to 3657 and 5762, to get

5762 = 3657 x 1 + 2105

Step 3: We consider the new divisor 3657 and the new remainder 2105, and apply the division lemma to get

3657 = 2105 x 1 + 1552

We consider the new divisor 2105 and the new remainder 1552,and apply the division lemma to get

2105 = 1552 x 1 + 553

We consider the new divisor 1552 and the new remainder 553,and apply the division lemma to get

1552 = 553 x 2 + 446

We consider the new divisor 553 and the new remainder 446,and apply the division lemma to get

553 = 446 x 1 + 107

We consider the new divisor 446 and the new remainder 107,and apply the division lemma to get

446 = 107 x 4 + 18

We consider the new divisor 107 and the new remainder 18,and apply the division lemma to get

107 = 18 x 5 + 17

We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get

18 = 17 x 1 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5762 and 9419 is 1

Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(107,18) = HCF(446,107) = HCF(553,446) = HCF(1552,553) = HCF(2105,1552) = HCF(3657,2105) = HCF(5762,3657) = HCF(9419,5762) .

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Frequently Asked Questions on HCF of 5762, 9419 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 5762, 9419?

Answer: HCF of 5762, 9419 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5762, 9419 using Euclid's Algorithm?

Answer: For arbitrary numbers 5762, 9419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.