Greatest Common Factor of 1028/994, 4055/7315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1028/994, 4055/7315

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 1028/994,4055/7315

Given fractions are 1028/994,4055/7315

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 1028,4055

Greatest Common Factor of Numerators i.e. GCF of 1028,4055 is 1 .

LCM of Denominators means LCM of 994,7315 as per the given fractions.

LCM of 994,7315 is 1038730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1028,4055

GCF of Fractions 1028/994,4055/7315 is 1/1038730

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

Greatest Common Factor of 1028,4055 By Matching Biggest Common Factor Method

Greatest Common Factor of 1028,4055 By Matching Biggest Common Factor Method

Factors of 1028

List of positive integer factors of 1028 that divides 1028 without a remainder.

1,2,4,257,514,1028

Factors of 4055

List of positive integer factors of 4055 that divides 4055 without a remainder.

1,5,811,4055

Greatest Common Factor

We found the factors 1028,4055 . The biggest common factor number is the GCF number.
So the greatest common factor 1028,4055 is 1.

Lets's calculate LCM of 994,7315

7 994, 7315
142, 1045

∴ So the LCM of the given numbers is 7 x 142 x 1045 = 1038730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1038730

Therefore, the GCF of Fractions 1028/994,4055/7315 is 1/1038730

Least Common Multiple of 994,7315 with GCF Formula

Least Common Multiple of 994,7315 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 994,7315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,7315) = 7

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

GCF(994,7315) x common factors =7 x 1 = 7

LCM(994,7315) = ( 994 × 7315 ) / 7

LCM(994,7315) = 7271110 / 7

LCM(994,7315) = 1038730


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 1028/994, 4055/7315

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 1028/994, 4055/7315?

Answer: GCF of Numerators as per given numbers 1028/994, 4055/7315 is

GCF of Numerators i.e. for 1028,4055 is 1

LCM of denominators i.e. for 994,7315 is 1038730.

Thus, GCF of Fractions is 1/1038730.Finally, GCF of Fractions for 1028/994, 4055/7315 is 1/1038730.