Greatest Common Factor of 2483/50, 8645/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2483/50, 8645/971

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 2483/50,8645/971

Given fractions are 2483/50,8645/971

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 2483,8645

Greatest Common Factor of Numerators i.e. GCF of 2483,8645 is 13 .

LCM of Denominators means LCM of 50,971 as per the given fractions.

LCM of 50,971 is 48550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2483,8645

GCF of Fractions 2483/50,8645/971 is 13/48550

13 2483, 8645
191, 665

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2483,8645 By Matching Biggest Common Factor Method

Greatest Common Factor of 2483,8645 By Matching Biggest Common Factor Method

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1,13,191,2483

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors 2483,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 2483,8645 is 13.

Lets's calculate LCM of 50,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 48550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/48550

Therefore, the GCF of Fractions 2483/50,8645/971 is 13/48550

Least Common Multiple of 50,971 with GCF Formula

Least Common Multiple of 50,971 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 50,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,971) = 1

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

GCF(50,971) x common factors =1 x 1 = 1

LCM(50,971) = ( 50 × 971 ) / 1

LCM(50,971) = 48550 / 1

LCM(50,971) = 48550


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 2483/50, 8645/971

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 2483/50, 8645/971?

Answer: GCF of Numerators as per given numbers 2483/50, 8645/971 is

GCF of Numerators i.e. for 2483,8645 is 13

LCM of denominators i.e. for 50,971 is 48550.

Thus, GCF of Fractions is 13/48550.Finally, GCF of Fractions for 2483/50, 8645/971 is 13/48550.