Greatest Common Factor of 128/80, 524/1495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 128/80, 524/1495

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 128/80,524/1495

Given fractions are 128/80,524/1495

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 128,524

Greatest Common Factor of Numerators i.e. GCF of 128,524 is 4 .

LCM of Denominators means LCM of 80,1495 as per the given fractions.

LCM of 80,1495 is 23920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,524

GCF of Fractions 128/80,524/1495 is 4/23920

2 128, 524
2 64, 262
32, 131

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

Greatest Common Factor of 128,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,524 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 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 128,524 . The biggest common factor number is the GCF number.
So the greatest common factor 128,524 is 4.


Lets's calculate LCM of 80,1495

5 80, 1495
16, 299

∴ So the LCM of the given numbers is 5 x 16 x 299 = 23920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23920

Therefore, the GCF of Fractions 128/80,524/1495 is 4/23920

Least Common Multiple of 80,1495 with GCF Formula

Least Common Multiple of 80,1495 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 80,1495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,1495) = 5

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

GCF(80,1495) x common factors =5 x 1 = 5

LCM(80,1495) = ( 80 × 1495 ) / 5

LCM(80,1495) = 119600 / 5

LCM(80,1495) = 23920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 128/80, 524/1495

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 128/80, 524/1495?

Answer: GCF of Numerators as per given numbers 128/80, 524/1495 is

GCF of Numerators i.e. for 128,524 is 4

LCM of denominators i.e. for 80,1495 is 23920.

Thus, GCF of Fractions is 4/23920.Finally, GCF of Fractions for 128/80, 524/1495 is 4/23920.