Highest Common Factor of 5351, 7317 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 5351, 7317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5351, 7317 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 5351, 7317 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 5351, 7317 is 1.

HCF(5351, 7317) = 1

HCF of 5351, 7317 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 5351, 7317 is 1.

Highest Common Factor of 5351,7317 using Euclid's algorithm

Highest Common Factor of 5351,7317 is 1

Step 1: Since 7317 > 5351, we apply the division lemma to 7317 and 5351, to get

7317 = 5351 x 1 + 1966

Step 2: Since the reminder 5351 ≠ 0, we apply division lemma to 1966 and 5351, to get

5351 = 1966 x 2 + 1419

Step 3: We consider the new divisor 1966 and the new remainder 1419, and apply the division lemma to get

1966 = 1419 x 1 + 547

We consider the new divisor 1419 and the new remainder 547,and apply the division lemma to get

1419 = 547 x 2 + 325

We consider the new divisor 547 and the new remainder 325,and apply the division lemma to get

547 = 325 x 1 + 222

We consider the new divisor 325 and the new remainder 222,and apply the division lemma to get

325 = 222 x 1 + 103

We consider the new divisor 222 and the new remainder 103,and apply the division lemma to get

222 = 103 x 2 + 16

We consider the new divisor 103 and the new remainder 16,and apply the division lemma to get

103 = 16 x 6 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 5351 and 7317 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(103,16) = HCF(222,103) = HCF(325,222) = HCF(547,325) = HCF(1419,547) = HCF(1966,1419) = HCF(5351,1966) = HCF(7317,5351) .

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Frequently Asked Questions on HCF of 5351, 7317 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 5351, 7317?

Answer: HCF of 5351, 7317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5351, 7317 using Euclid's Algorithm?

Answer: For arbitrary numbers 5351, 7317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.