# Highest Common Factor of 88, 220, 132 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 88, 220, 132 i.e. 44 the largest integer that leaves a remainder zero for all numbers.

HCF of 88, 220, 132 is 44 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 88, 220, 132 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 88, 220, 132 is 44.

HCF(88, 220, 132) = 44

## HCF of 88, 220, 132 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 88, 220, 132 is 44. ### Highest Common Factor of 88,220,132 is 44

Step 1: Since 220 > 88, we apply the division lemma to 220 and 88, to get

220 = 88 x 2 + 44

Step 2: Since the reminder 88 ≠ 0, we apply division lemma to 44 and 88, to get

88 = 44 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 88 and 220 is 44

Notice that 44 = HCF(88,44) = HCF(220,88) .

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

Step 1: Since 132 > 44, we apply the division lemma to 132 and 44, to get

132 = 44 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 44 and 132 is 44

Notice that 44 = HCF(132,44) .

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### Frequently Asked Questions on HCF of 88, 220, 132 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 88, 220, 132?

Answer: HCF of 88, 220, 132 is 44 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 88, 220, 132 using Euclid's Algorithm?

Answer: For arbitrary numbers 88, 220, 132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.