Highest Common Factor of 244, 488 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 244, 488 i.e. 244 the largest integer that leaves a remainder zero for all numbers.

HCF of 244, 488 is 244 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 244, 488 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 244, 488 is 244.

HCF(244, 488) = 244

HCF of 244, 488 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 244, 488 is 244.

Highest Common Factor of 244,488 using Euclid's algorithm

Highest Common Factor of 244,488 is 244

Step 1: Since 488 > 244, we apply the division lemma to 488 and 244, to get

488 = 244 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 244, the HCF of 244 and 488 is 244

Notice that 244 = HCF(488,244) .

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Frequently Asked Questions on HCF of 244, 488 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 244, 488?

Answer: HCF of 244, 488 is 244 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 244, 488 using Euclid's Algorithm?

Answer: For arbitrary numbers 244, 488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.