Highest Common Factor of 480, 528 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 480, 528 i.e. 48 the largest integer that leaves a remainder zero for all numbers.

HCF of 480, 528 is 48 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 480, 528 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 480, 528 is 48.

HCF(480, 528) = 48

HCF of 480, 528 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 480, 528 is 48.

Highest Common Factor of 480,528 using Euclid's algorithm

Highest Common Factor of 480,528 is 48

Step 1: Since 528 > 480, we apply the division lemma to 528 and 480, to get

528 = 480 x 1 + 48

Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 48 and 480, to get

480 = 48 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 480 and 528 is 48

Notice that 48 = HCF(480,48) = HCF(528,480) .

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Frequently Asked Questions on HCF of 480, 528 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 480, 528?

Answer: HCF of 480, 528 is 48 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 480, 528 using Euclid's Algorithm?

Answer: For arbitrary numbers 480, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.