Greatest Common Factor of 112/54, 608/98, 562/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/54, 608/98, 562/104

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 112/54,608/98,562/104

Given fractions are 112/54,608/98,562/104

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 112,608,562

Greatest Common Factor of Numerators i.e. GCF of 112,608,562 is 2 .

LCM of Denominators means LCM of 54,98,104 as per the given fractions.

LCM of 54,98,104 is 137592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,608,562

GCF of Fractions 112/54,608/98,562/104 is 2/137592

2 112, 608, 562
56, 304, 281

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

Greatest Common Factor of 112,608,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,608,562 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 112,608,562 . The biggest common factor number is the GCF number.
So the greatest common factor 112,608,562 is 2.

Lets's calculate LCM of 54,98,104

2 54, 98, 104
27, 49, 52

∴ So the LCM of the given numbers is 2 x 27 x 49 x 52 = 137592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137592

Therefore, the GCF of Fractions 112/54,608/98,562/104 is 2/137592

Least Common Multiple of 54,98,104 with GCF Formula

Least Common Multiple of 54,98,104 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 54,98,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,98,104) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,98,104) x common factors =2 x 2 = 4

LCM(54,98,104) = ( 54 × 98 × 104 ) / 4

LCM(54,98,104) = 550368 / 4

LCM(54,98,104) = 137592


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 112/54, 608/98, 562/104

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 112/54, 608/98, 562/104?

Answer: GCF of Numerators as per given numbers 112/54, 608/98, 562/104 is

GCF of Numerators i.e. for 112,608,562 is 2

LCM of denominators i.e. for 54,98,104 is 137592.

Thus, GCF of Fractions is 2/137592.Finally, GCF of Fractions for 112/54, 608/98, 562/104 is 2/137592.