Highest Common Factor of 54, 383 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 54, 383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 54, 383 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 54, 383 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 54, 383 is 1.

HCF(54, 383) = 1

HCF of 54, 383 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 54, 383 is 1.

Highest Common Factor of 54,383 using Euclid's algorithm

Highest Common Factor of 54,383 is 1

Step 1: Since 383 > 54, we apply the division lemma to 383 and 54, to get

383 = 54 x 7 + 5

Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 5 and 54, to get

54 = 5 x 10 + 4

Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get

5 = 4 x 1 + 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 54 and 383 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(383,54) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 54, 383 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 54, 383?

Answer: HCF of 54, 383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 54, 383 using Euclid's Algorithm?

Answer: For arbitrary numbers 54, 383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.