Greatest Common Factor of 136/76, 288/1174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 136/76, 288/1174

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 136/76,288/1174

Given fractions are 136/76,288/1174

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 136,288

Greatest Common Factor of Numerators i.e. GCF of 136,288 is 8 .

LCM of Denominators means LCM of 76,1174 as per the given fractions.

LCM of 76,1174 is 44612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 136,288

GCF of Fractions 136/76,288/1174 is 8/44612

2 136, 288
2 68, 144
2 34, 72
17, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 136,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,288 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 136,288 . The biggest common factor number is the GCF number.
So the greatest common factor 136,288 is 8.

Lets's calculate LCM of 76,1174

2 76, 1174
38, 587

∴ So the LCM of the given numbers is 2 x 38 x 587 = 44612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/44612

Therefore, the GCF of Fractions 136/76,288/1174 is 8/44612

Least Common Multiple of 76,1174 with GCF Formula

Least Common Multiple of 76,1174 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 76,1174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1174) = 2

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

GCF(76,1174) x common factors =2 x 1 = 2

LCM(76,1174) = ( 76 × 1174 ) / 2

LCM(76,1174) = 89224 / 2

LCM(76,1174) = 44612


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 136/76, 288/1174

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 136/76, 288/1174?

Answer: GCF of Numerators as per given numbers 136/76, 288/1174 is

GCF of Numerators i.e. for 136,288 is 8

LCM of denominators i.e. for 76,1174 is 44612.

Thus, GCF of Fractions is 8/44612.Finally, GCF of Fractions for 136/76, 288/1174 is 8/44612.