Greatest Common Factor of 7709/248, 1534/7160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7709/248, 1534/7160

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 7709/248,1534/7160

Given fractions are 7709/248,1534/7160

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 7709,1534

Greatest Common Factor of Numerators i.e. GCF of 7709,1534 is 13 .

LCM of Denominators means LCM of 248,7160 as per the given fractions.

LCM of 248,7160 is 221960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7709,1534

GCF of Fractions 7709/248,1534/7160 is 13/221960

13 7709, 1534
593, 118

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

Greatest Common Factor of 7709,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 7709,1534 By Matching Biggest Common Factor Method

Factors of 7709

List of positive integer factors of 7709 that divides 7709 without a remainder.

1,13,593,7709

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 7709,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 7709,1534 is 13.

Lets's calculate LCM of 248,7160

2 248, 7160
2 124, 3580
2 62, 1790
31, 895

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 895 = 221960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/221960

Therefore, the GCF of Fractions 7709/248,1534/7160 is 13/221960

Least Common Multiple of 248,7160 with GCF Formula

Least Common Multiple of 248,7160 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 248,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,7160) = 8

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

GCF(248,7160) x common factors =8 x 1 = 8

LCM(248,7160) = ( 248 × 7160 ) / 8

LCM(248,7160) = 1775680 / 8

LCM(248,7160) = 221960


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 7709/248, 1534/7160

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 7709/248, 1534/7160?

Answer: GCF of Numerators as per given numbers 7709/248, 1534/7160 is

GCF of Numerators i.e. for 7709,1534 is 13

LCM of denominators i.e. for 248,7160 is 221960.

Thus, GCF of Fractions is 13/221960.Finally, GCF of Fractions for 7709/248, 1534/7160 is 13/221960.