Highest Common Factor of 5053, 2912 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, 2912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5053, 2912 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, 2912 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, 2912 is 1.

HCF(5053, 2912) = 1

HCF of 5053, 2912 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, 2912 is 1.

Highest Common Factor of 5053,2912 using Euclid's algorithm

Highest Common Factor of 5053,2912 is 1

Step 1: Since 5053 > 2912, we apply the division lemma to 5053 and 2912, to get

5053 = 2912 x 1 + 2141

Step 2: Since the reminder 2912 ≠ 0, we apply division lemma to 2141 and 2912, to get

2912 = 2141 x 1 + 771

Step 3: We consider the new divisor 2141 and the new remainder 771, and apply the division lemma to get

2141 = 771 x 2 + 599

We consider the new divisor 771 and the new remainder 599,and apply the division lemma to get

771 = 599 x 1 + 172

We consider the new divisor 599 and the new remainder 172,and apply the division lemma to get

599 = 172 x 3 + 83

We consider the new divisor 172 and the new remainder 83,and apply the division lemma to get

172 = 83 x 2 + 6

We consider the new divisor 83 and the new remainder 6,and apply the division lemma to get

83 = 6 x 13 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5053 and 2912 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(83,6) = HCF(172,83) = HCF(599,172) = HCF(771,599) = HCF(2141,771) = HCF(2912,2141) = HCF(5053,2912) .

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Frequently Asked Questions on HCF of 5053, 2912 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, 2912?

Answer: HCF of 5053, 2912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5053, 2912 using Euclid's Algorithm?

Answer: For arbitrary numbers 5053, 2912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.