Highest Common Factor of 528, 352 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 528, 352 i.e. 176 the largest integer that leaves a remainder zero for all numbers.

HCF of 528, 352 is 176 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 528, 352 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 528, 352 is 176.

HCF(528, 352) = 176

HCF of 528, 352 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 528, 352 is 176.

Highest Common Factor of 528,352 using Euclid's algorithm

Highest Common Factor of 528,352 is 176

Step 1: Since 528 > 352, we apply the division lemma to 528 and 352, to get

528 = 352 x 1 + 176

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 176 and 352, to get

352 = 176 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 176, the HCF of 528 and 352 is 176

Notice that 176 = HCF(352,176) = HCF(528,352) .

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Frequently Asked Questions on HCF of 528, 352 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 528, 352?

Answer: HCF of 528, 352 is 176 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 528, 352 using Euclid's Algorithm?

Answer: For arbitrary numbers 528, 352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.