Greatest Common Factor of 128/23, 532/59, 988/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/23, 532/59, 988/80

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 128/23,532/59,988/80

Given fractions are 128/23,532/59,988/80

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 128,532,988

Greatest Common Factor of Numerators i.e. GCF of 128,532,988 is 4 .

LCM of Denominators means LCM of 23,59,80 as per the given fractions.

LCM of 23,59,80 is 108560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,532,988

GCF of Fractions 128/23,532/59,988/80 is 4/108560

2 128, 532, 988
2 64, 266, 494
32, 133, 247

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

Greatest Common Factor of 128,532,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,532,988 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

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

Greatest Common Factor

We found the factors 128,532,988 . The biggest common factor number is the GCF number.
So the greatest common factor 128,532,988 is 4.

Lets's calculate LCM of 23,59,80

Given numbers has no common factors except 1. So, there LCM is their product i.e 108560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/108560

Therefore, the GCF of Fractions 128/23,532/59,988/80 is 4/108560

Least Common Multiple of 23,59,80 with GCF Formula

Least Common Multiple of 23,59,80 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 23,59,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,59,80) = 1

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

GCF(23,59,80) x common factors =1 x 1 = 1

LCM(23,59,80) = ( 23 × 59 × 80 ) / 1

LCM(23,59,80) = 108560 / 1

LCM(23,59,80) = 108560


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 128/23, 532/59, 988/80

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 128/23, 532/59, 988/80?

Answer: GCF of Numerators as per given numbers 128/23, 532/59, 988/80 is

GCF of Numerators i.e. for 128,532,988 is 4

LCM of denominators i.e. for 23,59,80 is 108560.

Thus, GCF of Fractions is 4/108560.Finally, GCF of Fractions for 128/23, 532/59, 988/80 is 4/108560.