Greatest Common Factor of 1308/632, 8084/7156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1308/632, 8084/7156

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 1308/632,8084/7156

Given fractions are 1308/632,8084/7156

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 1308,8084

Greatest Common Factor of Numerators i.e. GCF of 1308,8084 is 4 .

LCM of Denominators means LCM of 632,7156 as per the given fractions.

LCM of 632,7156 is 1130648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1308,8084

GCF of Fractions 1308/632,8084/7156 is 4/1130648

2 1308, 8084
2 654, 4042
327, 2021

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1308,8084 By Matching Biggest Common Factor Method

Greatest Common Factor of 1308,8084 By Matching Biggest Common Factor Method

Factors of 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1,2,3,4,6,12,109,218,327,436,654,1308

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 1308,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 1308,8084 is 4.

Lets's calculate LCM of 632,7156

2 632, 7156
2 316, 3578
158, 1789

∴ So the LCM of the given numbers is 2 x 2 x 158 x 1789 = 1130648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1130648

Therefore, the GCF of Fractions 1308/632,8084/7156 is 4/1130648

Least Common Multiple of 632,7156 with GCF Formula

Least Common Multiple of 632,7156 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 632,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,7156) = 4

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

GCF(632,7156) x common factors =4 x 1 = 4

LCM(632,7156) = ( 632 × 7156 ) / 4

LCM(632,7156) = 4522592 / 4

LCM(632,7156) = 1130648


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 1308/632, 8084/7156

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 1308/632, 8084/7156?

Answer: GCF of Numerators as per given numbers 1308/632, 8084/7156 is

GCF of Numerators i.e. for 1308,8084 is 4

LCM of denominators i.e. for 632,7156 is 1130648.

Thus, GCF of Fractions is 4/1130648.Finally, GCF of Fractions for 1308/632, 8084/7156 is 4/1130648.