Greatest Common Factor of 254/41, 700/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/41, 700/135

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 254/41,700/135

Given fractions are 254/41,700/135

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 254,700

Greatest Common Factor of Numerators i.e. GCF of 254,700 is 2 .

LCM of Denominators means LCM of 41,135 as per the given fractions.

LCM of 41,135 is 5535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,700

GCF of Fractions 254/41,700/135 is 2/5535

2 254, 700
127, 350

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

Greatest Common Factor of 254,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,700 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 254,700 . The biggest common factor number is the GCF number.
So the greatest common factor 254,700 is 2.

Lets's calculate LCM of 41,135

Given numbers has no common factors except 1. So, there LCM is their product i.e 5535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5535

Therefore, the GCF of Fractions 254/41,700/135 is 2/5535

Least Common Multiple of 41,135 with GCF Formula

Least Common Multiple of 41,135 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 41,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,135) = 1

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

GCF(41,135) x common factors =1 x 1 = 1

LCM(41,135) = ( 41 × 135 ) / 1

LCM(41,135) = 5535 / 1

LCM(41,135) = 5535


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 254/41, 700/135

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 254/41, 700/135?

Answer: GCF of Numerators as per given numbers 254/41, 700/135 is

GCF of Numerators i.e. for 254,700 is 2

LCM of denominators i.e. for 41,135 is 5535.

Thus, GCF of Fractions is 2/5535.Finally, GCF of Fractions for 254/41, 700/135 is 2/5535.