Highest Common Factor of 270, 360 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 270, 360 i.e. 90 the largest integer that leaves a remainder zero for all numbers.

HCF of 270, 360 is 90 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 270, 360 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 270, 360 is 90.

HCF(270, 360) = 90

HCF of 270, 360 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 270, 360 is 90.

Highest Common Factor of 270,360 using Euclid's algorithm

Highest Common Factor of 270,360 is 90

Step 1: Since 360 > 270, we apply the division lemma to 360 and 270, to get

360 = 270 x 1 + 90

Step 2: Since the reminder 270 ≠ 0, we apply division lemma to 90 and 270, to get

270 = 90 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 90, the HCF of 270 and 360 is 90

Notice that 90 = HCF(270,90) = HCF(360,270) .

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Frequently Asked Questions on HCF of 270, 360 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 270, 360?

Answer: HCF of 270, 360 is 90 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 270, 360 using Euclid's Algorithm?

Answer: For arbitrary numbers 270, 360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.