Highest Common Factor of 2901, 5011 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 2901, 5011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2901, 5011 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 2901, 5011 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 2901, 5011 is 1.

HCF(2901, 5011) = 1

HCF of 2901, 5011 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 2901, 5011 is 1.

Highest Common Factor of 2901,5011 using Euclid's algorithm

Highest Common Factor of 2901,5011 is 1

Step 1: Since 5011 > 2901, we apply the division lemma to 5011 and 2901, to get

5011 = 2901 x 1 + 2110

Step 2: Since the reminder 2901 ≠ 0, we apply division lemma to 2110 and 2901, to get

2901 = 2110 x 1 + 791

Step 3: We consider the new divisor 2110 and the new remainder 791, and apply the division lemma to get

2110 = 791 x 2 + 528

We consider the new divisor 791 and the new remainder 528,and apply the division lemma to get

791 = 528 x 1 + 263

We consider the new divisor 528 and the new remainder 263,and apply the division lemma to get

528 = 263 x 2 + 2

We consider the new divisor 263 and the new remainder 2,and apply the division lemma to get

263 = 2 x 131 + 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 2901 and 5011 is 1

Notice that 1 = HCF(2,1) = HCF(263,2) = HCF(528,263) = HCF(791,528) = HCF(2110,791) = HCF(2901,2110) = HCF(5011,2901) .

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Frequently Asked Questions on HCF of 2901, 5011 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 2901, 5011?

Answer: HCF of 2901, 5011 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2901, 5011 using Euclid's Algorithm?

Answer: For arbitrary numbers 2901, 5011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.