Highest Common Factor of 1369, 4702 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 1369, 4702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1369, 4702 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 1369, 4702 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 1369, 4702 is 1.

HCF(1369, 4702) = 1

HCF of 1369, 4702 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 1369, 4702 is 1.

Highest Common Factor of 1369,4702 using Euclid's algorithm

Highest Common Factor of 1369,4702 is 1

Step 1: Since 4702 > 1369, we apply the division lemma to 4702 and 1369, to get

4702 = 1369 x 3 + 595

Step 2: Since the reminder 1369 ≠ 0, we apply division lemma to 595 and 1369, to get

1369 = 595 x 2 + 179

Step 3: We consider the new divisor 595 and the new remainder 179, and apply the division lemma to get

595 = 179 x 3 + 58

We consider the new divisor 179 and the new remainder 58,and apply the division lemma to get

179 = 58 x 3 + 5

We consider the new divisor 58 and the new remainder 5,and apply the division lemma to get

58 = 5 x 11 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 1369 and 4702 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(58,5) = HCF(179,58) = HCF(595,179) = HCF(1369,595) = HCF(4702,1369) .

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Frequently Asked Questions on HCF of 1369, 4702 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 1369, 4702?

Answer: HCF of 1369, 4702 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1369, 4702 using Euclid's Algorithm?

Answer: For arbitrary numbers 1369, 4702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.