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GCF of 548/172, 2506/6339

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 548/172, 2506/6339 i.e 2/1090308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/172, 2506/6339.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 548/172,2506/6339?

Given fractions are 548/172,2506/6339

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 548/172,2506/6339, numerators are 548,2506

Denominators are 172,6339

The GCF of 548,2506 is 2 .

LCM of 172,6339 is 1090308.

The greatest common factor of 548/172,2506/6339 = [GCF of 548,2506]/[LCM of 172,6339]= 2/1090308

Therefore, the GCF of 548/172,2506/6339 is 2/1090308.

Greatest Common Factor of 548,2506

To find the highest common factor of 548,2506, we have to find the factors of both numbers and list the highest common factor.

The factors of 548 are 1, 2, 4, 137, 274, 548

The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506

The HCF of 548,2506 is 2.

Lets's calculate GCF of 548,2506

Greatest Common Factor (GCF) of 548,2506 By Common Division

2 548, 2506
274, 1253

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 548,2506 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,2506 By Matching Biggest Common Factor Method

Now, list down the factors of 548

:

1,2,4,137,274,548

Now, list down the factors of 2506

:

1,2,7,14,179,358,1253,2506

Greatest Common Factor

We found the factors 548,2506 . The biggest common factor number is the GCF number.
So the greatest common factor 548,2506 is 2.

Lets's calculate LCM of 172,6339

Lowest Common Multiple of 172,6339 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1090308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1090308

Therefore, the GCF of Fractions 548/172,2506/6339 is 2/1090308

Least Common Multiple of 172,6339 with GCF Formula

Least Common Multiple of 172,6339 with GCF Formula

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

We need to calculate greatest common factor of 172,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6339) = 1

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

GCF(172,6339) x common factors =1 x 1 = 1

LCM(172,6339) = ( 172 × 6339 ) / 1

LCM(172,6339) = 1090308 / 1

LCM(172,6339) = 1090308


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FAQs on GCF of Fractions of 548/172, 2506/6339

1. What is the HCF of 548,2506?

The HCF of 548,2506 is 2

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 548/172, 2506/6339?

Answer: GCF of Numerators as per given numbers 548/172, 2506/6339 is

GCF of Numerators i.e. for 548,2506 is 2

LCM of denominators i.e. for 172,6339 is 1090308.

Thus, GCF of Fractions is 2/1090308.Finally, GCF of Fractions for 548/172, 2506/6339 is 2/1090308.