Greatest Common Factor of 28/535, 280/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/535, 280/975

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 28/535,280/975

Given fractions are 28/535,280/975

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 28,280

Greatest Common Factor of Numerators i.e. GCF of 28,280 is 28 .

LCM of Denominators means LCM of 535,975 as per the given fractions.

LCM of 535,975 is 104325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,280

GCF of Fractions 28/535,280/975 is 28/104325

2 28, 280
2 14, 140
7 7, 70
1, 10

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 28,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,280 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 28,280 . The biggest common factor number is the GCF number.
So the greatest common factor 28,280 is 28.

Lets's calculate LCM of 535,975

5 535, 975
107, 195

∴ So the LCM of the given numbers is 5 x 107 x 195 = 104325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/104325

Therefore, the GCF of Fractions 28/535,280/975 is 28/104325

Least Common Multiple of 535,975 with GCF Formula

Least Common Multiple of 535,975 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 535,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,975) = 5

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

GCF(535,975) x common factors =5 x 1 = 5

LCM(535,975) = ( 535 × 975 ) / 5

LCM(535,975) = 521625 / 5

LCM(535,975) = 104325


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 28/535, 280/975

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 28/535, 280/975?

Answer: GCF of Numerators as per given numbers 28/535, 280/975 is

GCF of Numerators i.e. for 28,280 is 28

LCM of denominators i.e. for 535,975 is 104325.

Thus, GCF of Fractions is 28/104325.Finally, GCF of Fractions for 28/535, 280/975 is 28/104325.