Highest Common Factor of 5285, 1444 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 5285, 1444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5285, 1444 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 5285, 1444 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 5285, 1444 is 1.

HCF(5285, 1444) = 1

HCF of 5285, 1444 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 5285, 1444 is 1.

Highest Common Factor of 5285,1444 using Euclid's algorithm

Highest Common Factor of 5285,1444 is 1

Step 1: Since 5285 > 1444, we apply the division lemma to 5285 and 1444, to get

5285 = 1444 x 3 + 953

Step 2: Since the reminder 1444 ≠ 0, we apply division lemma to 953 and 1444, to get

1444 = 953 x 1 + 491

Step 3: We consider the new divisor 953 and the new remainder 491, and apply the division lemma to get

953 = 491 x 1 + 462

We consider the new divisor 491 and the new remainder 462,and apply the division lemma to get

491 = 462 x 1 + 29

We consider the new divisor 462 and the new remainder 29,and apply the division lemma to get

462 = 29 x 15 + 27

We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get

29 = 27 x 1 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 5285 and 1444 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(462,29) = HCF(491,462) = HCF(953,491) = HCF(1444,953) = HCF(5285,1444) .

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Frequently Asked Questions on HCF of 5285, 1444 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 5285, 1444?

Answer: HCF of 5285, 1444 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5285, 1444 using Euclid's Algorithm?

Answer: For arbitrary numbers 5285, 1444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.