Greatest Common Factor of 988/36, 716/35, 288/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/36, 716/35, 288/128

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 988/36,716/35,288/128

Given fractions are 988/36,716/35,288/128

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 988,716,288

Greatest Common Factor of Numerators i.e. GCF of 988,716,288 is 4 .

LCM of Denominators means LCM of 36,35,128 as per the given fractions.

LCM of 36,35,128 is 40320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,716,288

GCF of Fractions 988/36,716/35,288/128 is 4/40320

2 988, 716, 288
2 494, 358, 144
247, 179, 72

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 988,716,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,716,288 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

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 988,716,288 . The biggest common factor number is the GCF number.
So the greatest common factor 988,716,288 is 4.

Lets's calculate LCM of 36,35,128

2 36, 35, 128
2 18, 35, 64
9, 35, 32

∴ So the LCM of the given numbers is 2 x 2 x 9 x 35 x 32 = 40320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40320

Therefore, the GCF of Fractions 988/36,716/35,288/128 is 4/40320

Least Common Multiple of 36,35,128 with GCF Formula

Least Common Multiple of 36,35,128 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 36,35,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,35,128) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,35,128) x common factors =1 x 4 = 4

LCM(36,35,128) = ( 36 × 35 × 128 ) / 4

LCM(36,35,128) = 161280 / 4

LCM(36,35,128) = 40320


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 988/36, 716/35, 288/128

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 988/36, 716/35, 288/128?

Answer: GCF of Numerators as per given numbers 988/36, 716/35, 288/128 is

GCF of Numerators i.e. for 988,716,288 is 4

LCM of denominators i.e. for 36,35,128 is 40320.

Thus, GCF of Fractions is 4/40320.Finally, GCF of Fractions for 988/36, 716/35, 288/128 is 4/40320.