Greatest Common Factor of 3535/48, 1963/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3535/48, 1963/254

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 3535/48,1963/254

Given fractions are 3535/48,1963/254

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 3535,1963

Greatest Common Factor of Numerators i.e. GCF of 3535,1963 is 1 .

LCM of Denominators means LCM of 48,254 as per the given fractions.

LCM of 48,254 is 6096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3535,1963

GCF of Fractions 3535/48,1963/254 is 1/6096

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

Greatest Common Factor of 3535,1963 By Matching Biggest Common Factor Method

Greatest Common Factor of 3535,1963 By Matching Biggest Common Factor Method

Factors of 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1,5,7,35,101,505,707,3535

Factors of 1963

List of positive integer factors of 1963 that divides 1963 without a remainder.

1,13,151,1963

Greatest Common Factor

We found the factors 3535,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,1963 is 1.

Lets's calculate LCM of 48,254

2 48, 254
24, 127

∴ So the LCM of the given numbers is 2 x 24 x 127 = 6096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6096

Therefore, the GCF of Fractions 3535/48,1963/254 is 1/6096

Least Common Multiple of 48,254 with GCF Formula

Least Common Multiple of 48,254 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 48,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,254) = 2

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

GCF(48,254) x common factors =2 x 1 = 2

LCM(48,254) = ( 48 × 254 ) / 2

LCM(48,254) = 12192 / 2

LCM(48,254) = 6096


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 3535/48, 1963/254

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 3535/48, 1963/254?

Answer: GCF of Numerators as per given numbers 3535/48, 1963/254 is

GCF of Numerators i.e. for 3535,1963 is 1

LCM of denominators i.e. for 48,254 is 6096.

Thus, GCF of Fractions is 1/6096.Finally, GCF of Fractions for 3535/48, 1963/254 is 1/6096.