Highest Common Factor of 240, 320 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 240, 320 i.e. 80 the largest integer that leaves a remainder zero for all numbers.

HCF of 240, 320 is 80 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 240, 320 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 240, 320 is 80.

HCF(240, 320) = 80

HCF of 240, 320 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 240, 320 is 80.

Highest Common Factor of 240,320 using Euclid's algorithm

Highest Common Factor of 240,320 is 80

Step 1: Since 320 > 240, we apply the division lemma to 320 and 240, to get

320 = 240 x 1 + 80

Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 80 and 240, to get

240 = 80 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 80, the HCF of 240 and 320 is 80

Notice that 80 = HCF(240,80) = HCF(320,240) .

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Frequently Asked Questions on HCF of 240, 320 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 240, 320?

Answer: HCF of 240, 320 is 80 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 240, 320 using Euclid's Algorithm?

Answer: For arbitrary numbers 240, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.