Greatest Common Factor of 2462/91, 5353/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2462/91, 5353/305

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 2462/91,5353/305

Given fractions are 2462/91,5353/305

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 2462,5353

Greatest Common Factor of Numerators i.e. GCF of 2462,5353 is 1 .

LCM of Denominators means LCM of 91,305 as per the given fractions.

LCM of 91,305 is 27755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2462,5353

GCF of Fractions 2462/91,5353/305 is 1/27755

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

Greatest Common Factor of 2462,5353 By Matching Biggest Common Factor Method

Greatest Common Factor of 2462,5353 By Matching Biggest Common Factor Method

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1,2,1231,2462

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1,53,101,5353

Greatest Common Factor

We found the factors 2462,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 2462,5353 is 1.

Lets's calculate LCM of 91,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 27755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27755

Therefore, the GCF of Fractions 2462/91,5353/305 is 1/27755

Least Common Multiple of 91,305 with GCF Formula

Least Common Multiple of 91,305 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 91,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,305) = 1

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

GCF(91,305) x common factors =1 x 1 = 1

LCM(91,305) = ( 91 × 305 ) / 1

LCM(91,305) = 27755 / 1

LCM(91,305) = 27755


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 2462/91, 5353/305

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 2462/91, 5353/305?

Answer: GCF of Numerators as per given numbers 2462/91, 5353/305 is

GCF of Numerators i.e. for 2462,5353 is 1

LCM of denominators i.e. for 91,305 is 27755.

Thus, GCF of Fractions is 1/27755.Finally, GCF of Fractions for 2462/91, 5353/305 is 1/27755.