How to Find GCF of 244/493, 244/506?

GCF of 244/493, 244/506

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 244/493, 244/506 i.e 244/249458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/493, 244/506.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 244/493,244/506?

Given fractions are 244/493,244/506

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 244/493,244/506, numerators are 244,244

Denominators are 493,506

The GCF of 244,244 is 244 .

LCM of 493,506 is 249458.

The greatest common factor of 244/493,244/506 = [GCF of 244,244]/[LCM of 493,506]= 244/249458

Therefore, the GCF of 244/493,244/506 is 244/249458.

Greatest Common Factor of 244,244

To find the highest common factor of 244,244, we have to find the factors of both numbers and list the highest common factor.

The factors of 244 are 1, 2, 4, 61, 122, 244

The HCF of 244,244 is 244.

Lets's calculate GCF of 244,244

Greatest Common Factor (GCF) of 244,244 By Common Division

2	244, 244
2	122, 122
61	61, 61
	1, 1

∴ So the GCF of the given numbers is 2 x 2 x 61 = 244

Greatest Common Factor of 244,244 By Matching Biggest Common Factor Method

Now, list down the factors of 244

1,2,4,61,122,244

Now, list down the factors of 244

1,2,4,61,122,244

Greatest Common Factor

We found the factors 244,244 . The biggest common factor number is the GCF number.
So the greatest common factor 244,244 is 244.

Lets's calculate LCM of 493,506

Lowest Common Multiple of 493,506 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 249458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 244/249458

Therefore, the GCF of Fractions 244/493,244/506 is 244/249458

Least Common Multiple of 493,506 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 493,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,506) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(493,506) x common factors =1 x 1 = 1

LCM(493,506) = ( 493 × 506 ) / 1

LCM(493,506) = 249458 / 1

LCM(493,506) = 249458

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FAQs on GCF of Fractions of 244/493, 244/506

1. What is the HCF of 244,244?

The HCF of 244,244 is 244

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 244/493, 244/506?

Answer: GCF of Numerators as per given numbers 244/493, 244/506 is

GCF of Numerators i.e. for 244,244 is 244

LCM of denominators i.e. for 493,506 is 249458.

Thus, GCF of Fractions is 244/249458.Finally, GCF of Fractions for 244/493, 244/506 is 244/249458.