Greatest Common Factor of 8248/250, 7781/5972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8248/250, 7781/5972

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 8248/250,7781/5972

Given fractions are 8248/250,7781/5972

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 8248,7781

Greatest Common Factor of Numerators i.e. GCF of 8248,7781 is 1 .

LCM of Denominators means LCM of 250,5972 as per the given fractions.

LCM of 250,5972 is 746500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8248,7781

GCF of Fractions 8248/250,7781/5972 is 1/746500

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

Greatest Common Factor of 8248,7781 By Matching Biggest Common Factor Method

Greatest Common Factor of 8248,7781 By Matching Biggest Common Factor Method

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1,2,4,8,1031,2062,4124,8248

Factors of 7781

List of positive integer factors of 7781 that divides 7781 without a remainder.

1,31,251,7781

Greatest Common Factor

We found the factors 8248,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,7781 is 1.

Lets's calculate LCM of 250,5972

2 250, 5972
125, 2986

∴ So the LCM of the given numbers is 2 x 125 x 2986 = 746500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746500

Therefore, the GCF of Fractions 8248/250,7781/5972 is 1/746500

Least Common Multiple of 250,5972 with GCF Formula

Least Common Multiple of 250,5972 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 250,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,5972) = 2

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

GCF(250,5972) x common factors =2 x 1 = 2

LCM(250,5972) = ( 250 × 5972 ) / 2

LCM(250,5972) = 1493000 / 2

LCM(250,5972) = 746500


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 8248/250, 7781/5972

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 8248/250, 7781/5972?

Answer: GCF of Numerators as per given numbers 8248/250, 7781/5972 is

GCF of Numerators i.e. for 8248,7781 is 1

LCM of denominators i.e. for 250,5972 is 746500.

Thus, GCF of Fractions is 1/746500.Finally, GCF of Fractions for 8248/250, 7781/5972 is 1/746500.