Highest Common Factor of 192, 256 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 192, 256 i.e. 64 the largest integer that leaves a remainder zero for all numbers.

HCF of 192, 256 is 64 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 192, 256 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 192, 256 is 64.

HCF(192, 256) = 64

HCF of 192, 256 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 192, 256 is 64.

Highest Common Factor of 192,256 using Euclid's algorithm

Highest Common Factor of 192,256 is 64

Step 1: Since 256 > 192, we apply the division lemma to 256 and 192, to get

256 = 192 x 1 + 64

Step 2: Since the reminder 192 ≠ 0, we apply division lemma to 64 and 192, to get

192 = 64 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 64, the HCF of 192 and 256 is 64

Notice that 64 = HCF(192,64) = HCF(256,192) .

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Frequently Asked Questions on HCF of 192, 256 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 192, 256?

Answer: HCF of 192, 256 is 64 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 192, 256 using Euclid's Algorithm?

Answer: For arbitrary numbers 192, 256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.