Highest Common Factor of 351, 5010, 2951 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 351, 5010, 2951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 351, 5010, 2951 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 351, 5010, 2951 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 351, 5010, 2951 is 1.

HCF(351, 5010, 2951) = 1

HCF of 351, 5010, 2951 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 351, 5010, 2951 is 1.

Highest Common Factor of 351,5010,2951 using Euclid's algorithm

Highest Common Factor of 351,5010,2951 is 1

Step 1: Since 5010 > 351, we apply the division lemma to 5010 and 351, to get

5010 = 351 x 14 + 96

Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 96 and 351, to get

351 = 96 x 3 + 63

Step 3: We consider the new divisor 96 and the new remainder 63, and apply the division lemma to get

96 = 63 x 1 + 33

We consider the new divisor 63 and the new remainder 33,and apply the division lemma to get

63 = 33 x 1 + 30

We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get

33 = 30 x 1 + 3

We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get

30 = 3 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 351 and 5010 is 3

Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(63,33) = HCF(96,63) = HCF(351,96) = HCF(5010,351) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 2951 > 3, we apply the division lemma to 2951 and 3, to get

2951 = 3 x 983 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 2951 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(2951,3) .

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Frequently Asked Questions on HCF of 351, 5010, 2951 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 351, 5010, 2951?

Answer: HCF of 351, 5010, 2951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 351, 5010, 2951 using Euclid's Algorithm?

Answer: For arbitrary numbers 351, 5010, 2951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.