Highest Common Factor of 1385, 4676 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 1385, 4676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1385, 4676 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 1385, 4676 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 1385, 4676 is 1.

HCF(1385, 4676) = 1

HCF of 1385, 4676 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 1385, 4676 is 1.

Highest Common Factor of 1385,4676 using Euclid's algorithm

Highest Common Factor of 1385,4676 is 1

Step 1: Since 4676 > 1385, we apply the division lemma to 4676 and 1385, to get

4676 = 1385 x 3 + 521

Step 2: Since the reminder 1385 ≠ 0, we apply division lemma to 521 and 1385, to get

1385 = 521 x 2 + 343

Step 3: We consider the new divisor 521 and the new remainder 343, and apply the division lemma to get

521 = 343 x 1 + 178

We consider the new divisor 343 and the new remainder 178,and apply the division lemma to get

343 = 178 x 1 + 165

We consider the new divisor 178 and the new remainder 165,and apply the division lemma to get

178 = 165 x 1 + 13

We consider the new divisor 165 and the new remainder 13,and apply the division lemma to get

165 = 13 x 12 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1385 and 4676 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(165,13) = HCF(178,165) = HCF(343,178) = HCF(521,343) = HCF(1385,521) = HCF(4676,1385) .

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Frequently Asked Questions on HCF of 1385, 4676 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 1385, 4676?

Answer: HCF of 1385, 4676 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1385, 4676 using Euclid's Algorithm?

Answer: For arbitrary numbers 1385, 4676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.