Highest Common Factor of 4939, 3463 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 4939, 3463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4939, 3463 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 4939, 3463 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 4939, 3463 is 1.

HCF(4939, 3463) = 1

HCF of 4939, 3463 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 4939, 3463 is 1.

Highest Common Factor of 4939,3463 using Euclid's algorithm

Highest Common Factor of 4939,3463 is 1

Step 1: Since 4939 > 3463, we apply the division lemma to 4939 and 3463, to get

4939 = 3463 x 1 + 1476

Step 2: Since the reminder 3463 ≠ 0, we apply division lemma to 1476 and 3463, to get

3463 = 1476 x 2 + 511

Step 3: We consider the new divisor 1476 and the new remainder 511, and apply the division lemma to get

1476 = 511 x 2 + 454

We consider the new divisor 511 and the new remainder 454,and apply the division lemma to get

511 = 454 x 1 + 57

We consider the new divisor 454 and the new remainder 57,and apply the division lemma to get

454 = 57 x 7 + 55

We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get

57 = 55 x 1 + 2

We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get

55 = 2 x 27 + 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 4939 and 3463 is 1

Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(454,57) = HCF(511,454) = HCF(1476,511) = HCF(3463,1476) = HCF(4939,3463) .

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Frequently Asked Questions on HCF of 4939, 3463 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 4939, 3463?

Answer: HCF of 4939, 3463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4939, 3463 using Euclid's Algorithm?

Answer: For arbitrary numbers 4939, 3463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.