How to Find GCF of 48/676, 5936/9942?

GCF of 48/676, 5936/9942

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 48/676, 5936/9942 i.e 16/3360396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/676, 5936/9942.

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 48/676,5936/9942?

Given fractions are 48/676,5936/9942

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 48/676,5936/9942, numerators are 48,5936

Denominators are 676,9942

The GCF of 48,5936 is 16 .

LCM of 676,9942 is 3360396.

The greatest common factor of 48/676,5936/9942 = [GCF of 48,5936]/[LCM of 676,9942]= 16/3360396

Therefore, the GCF of 48/676,5936/9942 is 16/3360396.

Greatest Common Factor of 48,5936

To find the highest common factor of 48,5936, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936

The HCF of 48,5936 is 16.

Lets's calculate GCF of 48,5936

Greatest Common Factor (GCF) of 48,5936 By Common Division

2	48, 5936
2	24, 2968
2	12, 1484
2	6, 742
	3, 371

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 48,5936 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 5936

1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936

Greatest Common Factor

We found the factors 48,5936 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5936 is 16.

Lets's calculate LCM of 676,9942

Lowest Common Multiple of 676,9942 using Common Division

2	676, 9942
	338, 4971

∴ So the LCM of the given numbers is 2 x 338 x 4971 = 3360396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3360396

Therefore, the GCF of Fractions 48/676,5936/9942 is 16/3360396

Least Common Multiple of 676,9942 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 676,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,9942) = 2

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

GCF(676,9942) x common factors =2 x 1 = 2

LCM(676,9942) = ( 676 × 9942 ) / 2

LCM(676,9942) = 6720792 / 2

LCM(676,9942) = 3360396

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FAQs on GCF of Fractions of 48/676, 5936/9942

1. What is the HCF of 48,5936?

The HCF of 48,5936 is 16

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 48/676, 5936/9942?

Answer: GCF of Numerators as per given numbers 48/676, 5936/9942 is

GCF of Numerators i.e. for 48,5936 is 16

LCM of denominators i.e. for 676,9942 is 3360396.

Thus, GCF of Fractions is 16/3360396.Finally, GCF of Fractions for 48/676, 5936/9942 is 16/3360396.