Highest Common Factor of 337, 748, 389 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 337, 748, 389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 337, 748, 389 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 337, 748, 389 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 337, 748, 389 is 1.

HCF(337, 748, 389) = 1

HCF of 337, 748, 389 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 337, 748, 389 is 1.

Highest Common Factor of 337,748,389 using Euclid's algorithm

Highest Common Factor of 337,748,389 is 1

Step 1: Since 748 > 337, we apply the division lemma to 748 and 337, to get

748 = 337 x 2 + 74

Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 74 and 337, to get

337 = 74 x 4 + 41

Step 3: We consider the new divisor 74 and the new remainder 41, and apply the division lemma to get

74 = 41 x 1 + 33

We consider the new divisor 41 and the new remainder 33,and apply the division lemma to get

41 = 33 x 1 + 8

We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get

33 = 8 x 4 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 337 and 748 is 1

Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(41,33) = HCF(74,41) = HCF(337,74) = HCF(748,337) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 389 > 1, we apply the division lemma to 389 and 1, to get

389 = 1 x 389 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 389 is 1

Notice that 1 = HCF(389,1) .

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Frequently Asked Questions on HCF of 337, 748, 389 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 337, 748, 389?

Answer: HCF of 337, 748, 389 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 337, 748, 389 using Euclid's Algorithm?

Answer: For arbitrary numbers 337, 748, 389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.