Highest Common Factor of 384, 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 384, 352 i.e. 32 the largest integer that leaves a remainder zero for all numbers.

HCF of 384, 352 is 32 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 384, 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 384, 352 is 32.

HCF(384, 352) = 32

HCF of 384, 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 384, 352 is 32.

Highest Common Factor of 384,352 using Euclid's algorithm

Highest Common Factor of 384,352 is 32

Step 1: Since 384 > 352, we apply the division lemma to 384 and 352, to get

384 = 352 x 1 + 32

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 32 and 352, to get

352 = 32 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 384 and 352 is 32

Notice that 32 = HCF(352,32) = HCF(384,352) .

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Frequently Asked Questions on HCF of 384, 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 384, 352?

Answer: HCF of 384, 352 is 32 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 384, 352 using Euclid's Algorithm?

Answer: For arbitrary numbers 384, 352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.