Greatest Common Factor of 112/74, 8256/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 112/74, 8256/552

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 112/74,8256/552

Given fractions are 112/74,8256/552

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 112,8256

Greatest Common Factor of Numerators i.e. GCF of 112,8256 is 16 .

LCM of Denominators means LCM of 74,552 as per the given fractions.

LCM of 74,552 is 20424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 112,8256

GCF of Fractions 112/74,8256/552 is 16/20424

2 112, 8256
2 56, 4128
2 28, 2064
2 14, 1032
7, 516

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

Greatest Common Factor of 112,8256 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,8256 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 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Greatest Common Factor

We found the factors 112,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 112,8256 is 16.

Lets's calculate LCM of 74,552

2 74, 552
37, 276

∴ So the LCM of the given numbers is 2 x 37 x 276 = 20424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/20424

Therefore, the GCF of Fractions 112/74,8256/552 is 16/20424

Least Common Multiple of 74,552 with GCF Formula

Least Common Multiple of 74,552 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 74,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,552) = 2

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

GCF(74,552) x common factors =2 x 1 = 2

LCM(74,552) = ( 74 × 552 ) / 2

LCM(74,552) = 40848 / 2

LCM(74,552) = 20424


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 112/74, 8256/552

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 112/74, 8256/552?

Answer: GCF of Numerators as per given numbers 112/74, 8256/552 is

GCF of Numerators i.e. for 112,8256 is 16

LCM of denominators i.e. for 74,552 is 20424.

Thus, GCF of Fractions is 16/20424.Finally, GCF of Fractions for 112/74, 8256/552 is 16/20424.