Highest Common Factor of 336, 392 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 336, 392 i.e. 56 the largest integer that leaves a remainder zero for all numbers.

HCF of 336, 392 is 56 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 336, 392 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 336, 392 is 56.

HCF(336, 392) = 56

HCF of 336, 392 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 336, 392 is 56.

Highest Common Factor of 336,392 using Euclid's algorithm

Highest Common Factor of 336,392 is 56

Step 1: Since 392 > 336, we apply the division lemma to 392 and 336, to get

392 = 336 x 1 + 56

Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 56 and 336, to get

336 = 56 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 336 and 392 is 56

Notice that 56 = HCF(336,56) = HCF(392,336) .

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Frequently Asked Questions on HCF of 336, 392 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 336, 392?

Answer: HCF of 336, 392 is 56 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 336, 392 using Euclid's Algorithm?

Answer: For arbitrary numbers 336, 392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.