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GCF of 548/60, 472/4138

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 548/60, 472/4138 i.e 4/124140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/60, 472/4138.

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 548/60,472/4138?

Given fractions are 548/60,472/4138

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 548/60,472/4138, numerators are 548,472

Denominators are 60,4138

The GCF of 548,472 is 4 .

LCM of 60,4138 is 124140.

The greatest common factor of 548/60,472/4138 = [GCF of 548,472]/[LCM of 60,4138]= 4/124140

Therefore, the GCF of 548/60,472/4138 is 4/124140.

Greatest Common Factor of 548,472

To find the highest common factor of 548,472, 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 472 are 1, 2, 4, 8, 59, 118, 236, 472

The HCF of 548,472 is 4.

Lets's calculate GCF of 548,472

Greatest Common Factor (GCF) of 548,472 By Common Division

2 548, 472
2 274, 236
137, 118

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 548,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,472 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 472

:

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 548,472 . The biggest common factor number is the GCF number.
So the greatest common factor 548,472 is 4.

Lets's calculate LCM of 60,4138

Lowest Common Multiple of 60,4138 using Common Division

2 60, 4138
30, 2069

∴ So the LCM of the given numbers is 2 x 30 x 2069 = 124140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/124140

Therefore, the GCF of Fractions 548/60,472/4138 is 4/124140

Least Common Multiple of 60,4138 with GCF Formula

Least Common Multiple of 60,4138 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 60,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,4138) = 2

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

GCF(60,4138) x common factors =2 x 1 = 2

LCM(60,4138) = ( 60 × 4138 ) / 2

LCM(60,4138) = 248280 / 2

LCM(60,4138) = 124140


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FAQs on GCF of Fractions of 548/60, 472/4138

1. What is the HCF of 548,472?

The HCF of 548,472 is 4

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 548/60, 472/4138?

Answer: GCF of Numerators as per given numbers 548/60, 472/4138 is

GCF of Numerators i.e. for 548,472 is 4

LCM of denominators i.e. for 60,4138 is 124140.

Thus, GCF of Fractions is 4/124140.Finally, GCF of Fractions for 548/60, 472/4138 is 4/124140.