Highest Common Factor of 5344, 7285 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 5344, 7285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5344, 7285 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 5344, 7285 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 5344, 7285 is 1.

HCF(5344, 7285) = 1

HCF of 5344, 7285 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 5344, 7285 is 1.

Highest Common Factor of 5344,7285 using Euclid's algorithm

Highest Common Factor of 5344,7285 is 1

Step 1: Since 7285 > 5344, we apply the division lemma to 7285 and 5344, to get

7285 = 5344 x 1 + 1941

Step 2: Since the reminder 5344 ≠ 0, we apply division lemma to 1941 and 5344, to get

5344 = 1941 x 2 + 1462

Step 3: We consider the new divisor 1941 and the new remainder 1462, and apply the division lemma to get

1941 = 1462 x 1 + 479

We consider the new divisor 1462 and the new remainder 479,and apply the division lemma to get

1462 = 479 x 3 + 25

We consider the new divisor 479 and the new remainder 25,and apply the division lemma to get

479 = 25 x 19 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5344 and 7285 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(479,25) = HCF(1462,479) = HCF(1941,1462) = HCF(5344,1941) = HCF(7285,5344) .

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Frequently Asked Questions on HCF of 5344, 7285 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 5344, 7285?

Answer: HCF of 5344, 7285 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5344, 7285 using Euclid's Algorithm?

Answer: For arbitrary numbers 5344, 7285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.