Highest Common Factor of 5053, 7279 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 5053, 7279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5053, 7279 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 5053, 7279 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 5053, 7279 is 1.

HCF(5053, 7279) = 1

HCF of 5053, 7279 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 5053, 7279 is 1.

Highest Common Factor of 5053,7279 using Euclid's algorithm

Highest Common Factor of 5053,7279 is 1

Step 1: Since 7279 > 5053, we apply the division lemma to 7279 and 5053, to get

7279 = 5053 x 1 + 2226

Step 2: Since the reminder 5053 ≠ 0, we apply division lemma to 2226 and 5053, to get

5053 = 2226 x 2 + 601

Step 3: We consider the new divisor 2226 and the new remainder 601, and apply the division lemma to get

2226 = 601 x 3 + 423

We consider the new divisor 601 and the new remainder 423,and apply the division lemma to get

601 = 423 x 1 + 178

We consider the new divisor 423 and the new remainder 178,and apply the division lemma to get

423 = 178 x 2 + 67

We consider the new divisor 178 and the new remainder 67,and apply the division lemma to get

178 = 67 x 2 + 44

We consider the new divisor 67 and the new remainder 44,and apply the division lemma to get

67 = 44 x 1 + 23

We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get

44 = 23 x 1 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 5053 and 7279 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(67,44) = HCF(178,67) = HCF(423,178) = HCF(601,423) = HCF(2226,601) = HCF(5053,2226) = HCF(7279,5053) .

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Frequently Asked Questions on HCF of 5053, 7279 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 5053, 7279?

Answer: HCF of 5053, 7279 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5053, 7279 using Euclid's Algorithm?

Answer: For arbitrary numbers 5053, 7279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.