Greatest Common Factor of 942/119, 5354/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 942/119, 5354/448

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 942/119,5354/448

Given fractions are 942/119,5354/448

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 942,5354

Greatest Common Factor of Numerators i.e. GCF of 942,5354 is 2 .

LCM of Denominators means LCM of 119,448 as per the given fractions.

LCM of 119,448 is 7616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 942,5354

GCF of Fractions 942/119,5354/448 is 2/7616

2 942, 5354
471, 2677

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

Greatest Common Factor of 942,5354 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,5354 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1,2,2677,5354

Greatest Common Factor

We found the factors 942,5354 . The biggest common factor number is the GCF number.
So the greatest common factor 942,5354 is 2.

Lets's calculate LCM of 119,448

7 119, 448
17, 64

∴ So the LCM of the given numbers is 7 x 17 x 64 = 7616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7616

Therefore, the GCF of Fractions 942/119,5354/448 is 2/7616

Least Common Multiple of 119,448 with GCF Formula

Least Common Multiple of 119,448 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 119,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,448) = 7

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

GCF(119,448) x common factors =7 x 1 = 7

LCM(119,448) = ( 119 × 448 ) / 7

LCM(119,448) = 53312 / 7

LCM(119,448) = 7616


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 942/119, 5354/448

1. 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.

2. What is the GCF of Fractions for 942/119, 5354/448?

Answer: GCF of Numerators as per given numbers 942/119, 5354/448 is

GCF of Numerators i.e. for 942,5354 is 2

LCM of denominators i.e. for 119,448 is 7616.

Thus, GCF of Fractions is 2/7616.Finally, GCF of Fractions for 942/119, 5354/448 is 2/7616.