Highest Common Factor of 183, 244 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 183, 244 i.e. 61 the largest integer that leaves a remainder zero for all numbers.

HCF of 183, 244 is 61 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 183, 244 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 183, 244 is 61.

HCF(183, 244) = 61

HCF of 183, 244 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 183, 244 is 61.

Highest Common Factor of 183,244 using Euclid's algorithm

Highest Common Factor of 183,244 is 61

Step 1: Since 244 > 183, we apply the division lemma to 244 and 183, to get

244 = 183 x 1 + 61

Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 61 and 183, to get

183 = 61 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 183 and 244 is 61

Notice that 61 = HCF(183,61) = HCF(244,183) .

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Frequently Asked Questions on HCF of 183, 244 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 183, 244?

Answer: HCF of 183, 244 is 61 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 183, 244 using Euclid's Algorithm?

Answer: For arbitrary numbers 183, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.