Greatest Common Factor of 364/49, 204/35, 253/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/49, 204/35, 253/875

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 364/49,204/35,253/875

Given fractions are 364/49,204/35,253/875

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 364,204,253

Greatest Common Factor of Numerators i.e. GCF of 364,204,253 is 1 .

LCM of Denominators means LCM of 49,35,875 as per the given fractions.

LCM of 49,35,875 is 6125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,204,253

GCF of Fractions 364/49,204/35,253/875 is 1/6125

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 364,204,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,204,253 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 364,204,253 . The biggest common factor number is the GCF number.
So the greatest common factor 364,204,253 is 1.

Lets's calculate LCM of 49,35,875

5 49, 35, 875
7 49, 7, 175
1, 7, 25

∴ So the LCM of the given numbers is 5 x 7 x 1 x 7 x 25 = 6125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6125

Therefore, the GCF of Fractions 364/49,204/35,253/875 is 1/6125

Least Common Multiple of 49,35,875 with GCF Formula

Least Common Multiple of 49,35,875 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 49,35,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,35,875) = 7

common factors(in case of two or more numbers have common factors) = 35

GCF(49,35,875) x common factors =7 x 35 = 245

LCM(49,35,875) = ( 49 × 35 × 875 ) / 245

LCM(49,35,875) = 1500625 / 245

LCM(49,35,875) = 6125


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 364/49, 204/35, 253/875

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 364/49, 204/35, 253/875?

Answer: GCF of Numerators as per given numbers 364/49, 204/35, 253/875 is

GCF of Numerators i.e. for 364,204,253 is 1

LCM of denominators i.e. for 49,35,875 is 6125.

Thus, GCF of Fractions is 1/6125.Finally, GCF of Fractions for 364/49, 204/35, 253/875 is 1/6125.