Greatest Common Factor of 1048/265, 8034/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1048/265, 8034/674

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 1048/265,8034/674

Given fractions are 1048/265,8034/674

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 1048,8034

Greatest Common Factor of Numerators i.e. GCF of 1048,8034 is 2 .

LCM of Denominators means LCM of 265,674 as per the given fractions.

LCM of 265,674 is 178610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1048,8034

GCF of Fractions 1048/265,8034/674 is 2/178610

2 1048, 8034
524, 4017

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

Greatest Common Factor of 1048,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 1048,8034 By Matching Biggest Common Factor Method

Factors of 1048

List of positive integer factors of 1048 that divides 1048 without a remainder.

1,2,4,8,131,262,524,1048

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 1048,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 1048,8034 is 2.

Lets's calculate LCM of 265,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 178610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178610

Therefore, the GCF of Fractions 1048/265,8034/674 is 2/178610

Least Common Multiple of 265,674 with GCF Formula

Least Common Multiple of 265,674 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 265,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,674) = 1

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

GCF(265,674) x common factors =1 x 1 = 1

LCM(265,674) = ( 265 × 674 ) / 1

LCM(265,674) = 178610 / 1

LCM(265,674) = 178610


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 1048/265, 8034/674

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 1048/265, 8034/674?

Answer: GCF of Numerators as per given numbers 1048/265, 8034/674 is

GCF of Numerators i.e. for 1048,8034 is 2

LCM of denominators i.e. for 265,674 is 178610.

Thus, GCF of Fractions is 2/178610.Finally, GCF of Fractions for 1048/265, 8034/674 is 2/178610.