Highest Common Factor of 147, 903 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 147, 903 i.e. 21 the largest integer that leaves a remainder zero for all numbers.

HCF of 147, 903 is 21 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 147, 903 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 147, 903 is 21.

HCF(147, 903) = 21

HCF of 147, 903 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 147, 903 is 21.

Highest Common Factor of 147,903 using Euclid's algorithm

Highest Common Factor of 147,903 is 21

Step 1: Since 903 > 147, we apply the division lemma to 903 and 147, to get

903 = 147 x 6 + 21

Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 21 and 147, to get

147 = 21 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 147 and 903 is 21

Notice that 21 = HCF(147,21) = HCF(903,147) .

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Frequently Asked Questions on HCF of 147, 903 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 147, 903?

Answer: HCF of 147, 903 is 21 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 147, 903 using Euclid's Algorithm?

Answer: For arbitrary numbers 147, 903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.