Highest Common Factor of 5302, 3481 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 5302, 3481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5302, 3481 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 5302, 3481 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 5302, 3481 is 1.

HCF(5302, 3481) = 1

HCF of 5302, 3481 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 5302, 3481 is 1.

Highest Common Factor of 5302,3481 using Euclid's algorithm

Highest Common Factor of 5302,3481 is 1

Step 1: Since 5302 > 3481, we apply the division lemma to 5302 and 3481, to get

5302 = 3481 x 1 + 1821

Step 2: Since the reminder 3481 ≠ 0, we apply division lemma to 1821 and 3481, to get

3481 = 1821 x 1 + 1660

Step 3: We consider the new divisor 1821 and the new remainder 1660, and apply the division lemma to get

1821 = 1660 x 1 + 161

We consider the new divisor 1660 and the new remainder 161,and apply the division lemma to get

1660 = 161 x 10 + 50

We consider the new divisor 161 and the new remainder 50,and apply the division lemma to get

161 = 50 x 3 + 11

We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get

50 = 11 x 4 + 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 5302 and 3481 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(161,50) = HCF(1660,161) = HCF(1821,1660) = HCF(3481,1821) = HCF(5302,3481) .

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Frequently Asked Questions on HCF of 5302, 3481 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 5302, 3481?

Answer: HCF of 5302, 3481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5302, 3481 using Euclid's Algorithm?

Answer: For arbitrary numbers 5302, 3481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.