Highest Common Factor of 525, 866, 220 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 525, 866, 220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 525, 866, 220 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 525, 866, 220 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 525, 866, 220 is 1.

HCF(525, 866, 220) = 1

HCF of 525, 866, 220 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 525, 866, 220 is 1.

Highest Common Factor of 525,866,220 using Euclid's algorithm

Highest Common Factor of 525,866,220 is 1

Step 1: Since 866 > 525, we apply the division lemma to 866 and 525, to get

866 = 525 x 1 + 341

Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 341 and 525, to get

525 = 341 x 1 + 184

Step 3: We consider the new divisor 341 and the new remainder 184, and apply the division lemma to get

341 = 184 x 1 + 157

We consider the new divisor 184 and the new remainder 157,and apply the division lemma to get

184 = 157 x 1 + 27

We consider the new divisor 157 and the new remainder 27,and apply the division lemma to get

157 = 27 x 5 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 525 and 866 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(157,27) = HCF(184,157) = HCF(341,184) = HCF(525,341) = HCF(866,525) .

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

Step 1: Since 220 > 1, we apply the division lemma to 220 and 1, to get

220 = 1 x 220 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 220 is 1

Notice that 1 = HCF(220,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 525, 866, 220 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 525, 866, 220?

Answer: HCF of 525, 866, 220 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 525, 866, 220 using Euclid's Algorithm?

Answer: For arbitrary numbers 525, 866, 220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.