Highest Common Factor of 3070, 5329 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 3070, 5329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3070, 5329 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 3070, 5329 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 3070, 5329 is 1.

HCF(3070, 5329) = 1

HCF of 3070, 5329 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 3070, 5329 is 1.

Highest Common Factor of 3070,5329 using Euclid's algorithm

Highest Common Factor of 3070,5329 is 1

Step 1: Since 5329 > 3070, we apply the division lemma to 5329 and 3070, to get

5329 = 3070 x 1 + 2259

Step 2: Since the reminder 3070 ≠ 0, we apply division lemma to 2259 and 3070, to get

3070 = 2259 x 1 + 811

Step 3: We consider the new divisor 2259 and the new remainder 811, and apply the division lemma to get

2259 = 811 x 2 + 637

We consider the new divisor 811 and the new remainder 637,and apply the division lemma to get

811 = 637 x 1 + 174

We consider the new divisor 637 and the new remainder 174,and apply the division lemma to get

637 = 174 x 3 + 115

We consider the new divisor 174 and the new remainder 115,and apply the division lemma to get

174 = 115 x 1 + 59

We consider the new divisor 115 and the new remainder 59,and apply the division lemma to get

115 = 59 x 1 + 56

We consider the new divisor 59 and the new remainder 56,and apply the division lemma to get

59 = 56 x 1 + 3

We consider the new divisor 56 and the new remainder 3,and apply the division lemma to get

56 = 3 x 18 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3070 and 5329 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(56,3) = HCF(59,56) = HCF(115,59) = HCF(174,115) = HCF(637,174) = HCF(811,637) = HCF(2259,811) = HCF(3070,2259) = HCF(5329,3070) .

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Frequently Asked Questions on HCF of 3070, 5329 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 3070, 5329?

Answer: HCF of 3070, 5329 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3070, 5329 using Euclid's Algorithm?

Answer: For arbitrary numbers 3070, 5329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.