Highest Common Factor of 702, 3331 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 702, 3331 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 702, 3331 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 702, 3331 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 702, 3331 is 1.

HCF(702, 3331) = 1

HCF of 702, 3331 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 702, 3331 is 1.

Highest Common Factor of 702,3331 using Euclid's algorithm

Highest Common Factor of 702,3331 is 1

Step 1: Since 3331 > 702, we apply the division lemma to 3331 and 702, to get

3331 = 702 x 4 + 523

Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 523 and 702, to get

702 = 523 x 1 + 179

Step 3: We consider the new divisor 523 and the new remainder 179, and apply the division lemma to get

523 = 179 x 2 + 165

We consider the new divisor 179 and the new remainder 165,and apply the division lemma to get

179 = 165 x 1 + 14

We consider the new divisor 165 and the new remainder 14,and apply the division lemma to get

165 = 14 x 11 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 702 and 3331 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(165,14) = HCF(179,165) = HCF(523,179) = HCF(702,523) = HCF(3331,702) .

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Frequently Asked Questions on HCF of 702, 3331 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 702, 3331?

Answer: HCF of 702, 3331 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 702, 3331 using Euclid's Algorithm?

Answer: For arbitrary numbers 702, 3331 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.