Highest Common Factor of 4827, 5218 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 4827, 5218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4827, 5218 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 4827, 5218 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 4827, 5218 is 1.

HCF(4827, 5218) = 1

HCF of 4827, 5218 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 4827, 5218 is 1.

Highest Common Factor of 4827,5218 using Euclid's algorithm

Highest Common Factor of 4827,5218 is 1

Step 1: Since 5218 > 4827, we apply the division lemma to 5218 and 4827, to get

5218 = 4827 x 1 + 391

Step 2: Since the reminder 4827 ≠ 0, we apply division lemma to 391 and 4827, to get

4827 = 391 x 12 + 135

Step 3: We consider the new divisor 391 and the new remainder 135, and apply the division lemma to get

391 = 135 x 2 + 121

We consider the new divisor 135 and the new remainder 121,and apply the division lemma to get

135 = 121 x 1 + 14

We consider the new divisor 121 and the new remainder 14,and apply the division lemma to get

121 = 14 x 8 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

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 4827 and 5218 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(121,14) = HCF(135,121) = HCF(391,135) = HCF(4827,391) = HCF(5218,4827) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4827, 5218 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 4827, 5218?

Answer: HCF of 4827, 5218 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4827, 5218 using Euclid's Algorithm?

Answer: For arbitrary numbers 4827, 5218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.