Highest Common Factor of 450, 108 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 450, 108 i.e. 18 the largest integer that leaves a remainder zero for all numbers.

HCF of 450, 108 is 18 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 450, 108 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 450, 108 is 18.

HCF(450, 108) = 18

HCF of 450, 108 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 450, 108 is 18.

Highest Common Factor of 450,108 using Euclid's algorithm

Highest Common Factor of 450,108 is 18

Step 1: Since 450 > 108, we apply the division lemma to 450 and 108, to get

450 = 108 x 4 + 18

Step 2: Since the reminder 108 ≠ 0, we apply division lemma to 18 and 108, to get

108 = 18 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 18, the HCF of 450 and 108 is 18

Notice that 18 = HCF(108,18) = HCF(450,108) .

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Frequently Asked Questions on HCF of 450, 108 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 450, 108?

Answer: HCF of 450, 108 is 18 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 450, 108 using Euclid's Algorithm?

Answer: For arbitrary numbers 450, 108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.