Greatest Common Factor of 4725/87, 4175/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4725/87, 4175/295

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 4725/87,4175/295

Given fractions are 4725/87,4175/295

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 4725,4175

Greatest Common Factor of Numerators i.e. GCF of 4725,4175 is 25 .

LCM of Denominators means LCM of 87,295 as per the given fractions.

LCM of 87,295 is 25665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4725,4175

GCF of Fractions 4725/87,4175/295 is 25/25665

5 4725, 4175
5 945, 835
189, 167

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 4725,4175 By Matching Biggest Common Factor Method

Greatest Common Factor of 4725,4175 By Matching Biggest Common Factor Method

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1,3,5,7,9,15,21,25,27,35,45,63,75,105,135,175,189,225,315,525,675,945,1575,4725

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors 4725,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 4725,4175 is 25.

Lets's calculate LCM of 87,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 25665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/25665

Therefore, the GCF of Fractions 4725/87,4175/295 is 25/25665

Least Common Multiple of 87,295 with GCF Formula

Least Common Multiple of 87,295 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 87,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,295) = 1

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

GCF(87,295) x common factors =1 x 1 = 1

LCM(87,295) = ( 87 × 295 ) / 1

LCM(87,295) = 25665 / 1

LCM(87,295) = 25665


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 4725/87, 4175/295

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 4725/87, 4175/295?

Answer: GCF of Numerators as per given numbers 4725/87, 4175/295 is

GCF of Numerators i.e. for 4725,4175 is 25

LCM of denominators i.e. for 87,295 is 25665.

Thus, GCF of Fractions is 25/25665.Finally, GCF of Fractions for 4725/87, 4175/295 is 25/25665.