Highest Common Factor of 4520, 5745, 54571 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 4520, 5745, 54571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4520, 5745, 54571 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 4520, 5745, 54571 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 4520, 5745, 54571 is 1.

HCF(4520, 5745, 54571) = 1

HCF of 4520, 5745, 54571 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 4520, 5745, 54571 is 1.

Highest Common Factor of 4520,5745,54571 using Euclid's algorithm

Highest Common Factor of 4520,5745,54571 is 1

Step 1: Since 5745 > 4520, we apply the division lemma to 5745 and 4520, to get

5745 = 4520 x 1 + 1225

Step 2: Since the reminder 4520 ≠ 0, we apply division lemma to 1225 and 4520, to get

4520 = 1225 x 3 + 845

Step 3: We consider the new divisor 1225 and the new remainder 845, and apply the division lemma to get

1225 = 845 x 1 + 380

We consider the new divisor 845 and the new remainder 380,and apply the division lemma to get

845 = 380 x 2 + 85

We consider the new divisor 380 and the new remainder 85,and apply the division lemma to get

380 = 85 x 4 + 40

We consider the new divisor 85 and the new remainder 40,and apply the division lemma to get

85 = 40 x 2 + 5

We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get

40 = 5 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4520 and 5745 is 5

Notice that 5 = HCF(40,5) = HCF(85,40) = HCF(380,85) = HCF(845,380) = HCF(1225,845) = HCF(4520,1225) = HCF(5745,4520) .

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

Step 1: Since 54571 > 5, we apply the division lemma to 54571 and 5, to get

54571 = 5 x 10914 + 1

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 54571 is 1

Notice that 1 = HCF(5,1) = HCF(54571,5) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4520, 5745, 54571 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 4520, 5745, 54571?

Answer: HCF of 4520, 5745, 54571 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4520, 5745, 54571 using Euclid's Algorithm?

Answer: For arbitrary numbers 4520, 5745, 54571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.