How to Find GCF of 548/880, 3996/124?

GCF of 548/880, 3996/124

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 548/880, 3996/124 i.e 4/27280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/880, 3996/124.

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 548/880,3996/124?

Given fractions are 548/880,3996/124

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 548/880,3996/124, numerators are 548,3996

Denominators are 880,124

The GCF of 548,3996 is 4 .

LCM of 880,124 is 27280.

The greatest common factor of 548/880,3996/124 = [GCF of 548,3996]/[LCM of 880,124]= 4/27280

Therefore, the GCF of 548/880,3996/124 is 4/27280.

Greatest Common Factor of 548,3996

To find the highest common factor of 548,3996, 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 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996

The HCF of 548,3996 is 4.

Lets's calculate GCF of 548,3996

Greatest Common Factor (GCF) of 548,3996 By Common Division

2	548, 3996
2	274, 1998
	137, 999

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

Greatest Common Factor of 548,3996 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 3996

1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996

Greatest Common Factor

We found the factors 548,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 548,3996 is 4.

Lets's calculate LCM of 880,124

Lowest Common Multiple of 880,124 using Common Division

2	880, 124
2	440, 62
	220, 31

∴ So the LCM of the given numbers is 2 x 2 x 220 x 31 = 27280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/27280

Therefore, the GCF of Fractions 548/880,3996/124 is 4/27280

Least Common Multiple of 880,124 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 880,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,124) = 4

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

GCF(880,124) x common factors =4 x 1 = 4

LCM(880,124) = ( 880 × 124 ) / 4

LCM(880,124) = 109120 / 4

LCM(880,124) = 27280

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FAQs on GCF of Fractions of 548/880, 3996/124

1. What is the HCF of 548,3996?

The HCF of 548,3996 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 548/880, 3996/124?

Answer: GCF of Numerators as per given numbers 548/880, 3996/124 is

GCF of Numerators i.e. for 548,3996 is 4

LCM of denominators i.e. for 880,124 is 27280.

Thus, GCF of Fractions is 4/27280.Finally, GCF of Fractions for 548/880, 3996/124 is 4/27280.