Highest Common Factor of 5961, 3145 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 5961, 3145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5961, 3145 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 5961, 3145 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 5961, 3145 is 1.

HCF(5961, 3145) = 1

HCF of 5961, 3145 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 5961, 3145 is 1.

Highest Common Factor of 5961,3145 using Euclid's algorithm

Highest Common Factor of 5961,3145 is 1

Step 1: Since 5961 > 3145, we apply the division lemma to 5961 and 3145, to get

5961 = 3145 x 1 + 2816

Step 2: Since the reminder 3145 ≠ 0, we apply division lemma to 2816 and 3145, to get

3145 = 2816 x 1 + 329

Step 3: We consider the new divisor 2816 and the new remainder 329, and apply the division lemma to get

2816 = 329 x 8 + 184

We consider the new divisor 329 and the new remainder 184,and apply the division lemma to get

329 = 184 x 1 + 145

We consider the new divisor 184 and the new remainder 145,and apply the division lemma to get

184 = 145 x 1 + 39

We consider the new divisor 145 and the new remainder 39,and apply the division lemma to get

145 = 39 x 3 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 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 5961 and 3145 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(145,39) = HCF(184,145) = HCF(329,184) = HCF(2816,329) = HCF(3145,2816) = HCF(5961,3145) .

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Frequently Asked Questions on HCF of 5961, 3145 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 5961, 3145?

Answer: HCF of 5961, 3145 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5961, 3145 using Euclid's Algorithm?

Answer: For arbitrary numbers 5961, 3145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.