Highest Common Factor of 1367, 4974 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 1367, 4974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1367, 4974 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 1367, 4974 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 1367, 4974 is 1.

HCF(1367, 4974) = 1

HCF of 1367, 4974 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 1367, 4974 is 1.

Highest Common Factor of 1367,4974 using Euclid's algorithm

Highest Common Factor of 1367,4974 is 1

Step 1: Since 4974 > 1367, we apply the division lemma to 4974 and 1367, to get

4974 = 1367 x 3 + 873

Step 2: Since the reminder 1367 ≠ 0, we apply division lemma to 873 and 1367, to get

1367 = 873 x 1 + 494

Step 3: We consider the new divisor 873 and the new remainder 494, and apply the division lemma to get

873 = 494 x 1 + 379

We consider the new divisor 494 and the new remainder 379,and apply the division lemma to get

494 = 379 x 1 + 115

We consider the new divisor 379 and the new remainder 115,and apply the division lemma to get

379 = 115 x 3 + 34

We consider the new divisor 115 and the new remainder 34,and apply the division lemma to get

115 = 34 x 3 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 1367 and 4974 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(115,34) = HCF(379,115) = HCF(494,379) = HCF(873,494) = HCF(1367,873) = HCF(4974,1367) .

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Frequently Asked Questions on HCF of 1367, 4974 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 1367, 4974?

Answer: HCF of 1367, 4974 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1367, 4974 using Euclid's Algorithm?

Answer: For arbitrary numbers 1367, 4974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.