Greatest Common Factor of 1039/750, 7785/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1039/750, 7785/478

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 1039/750,7785/478

Given fractions are 1039/750,7785/478

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 1039,7785

Greatest Common Factor of Numerators i.e. GCF of 1039,7785 is 1 .

LCM of Denominators means LCM of 750,478 as per the given fractions.

LCM of 750,478 is 179250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1039,7785

GCF of Fractions 1039/750,7785/478 is 1/179250

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

Greatest Common Factor of 1039,7785 By Matching Biggest Common Factor Method

Greatest Common Factor of 1039,7785 By Matching Biggest Common Factor Method

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1,1039

Factors of 7785

List of positive integer factors of 7785 that divides 7785 without a remainder.

1,3,5,9,15,45,173,519,865,1557,2595,7785

Greatest Common Factor

We found the factors 1039,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 1039,7785 is 1.

Lets's calculate LCM of 750,478

2 750, 478
375, 239

∴ So the LCM of the given numbers is 2 x 375 x 239 = 179250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179250

Therefore, the GCF of Fractions 1039/750,7785/478 is 1/179250

Least Common Multiple of 750,478 with GCF Formula

Least Common Multiple of 750,478 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 750,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,478) = 2

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

GCF(750,478) x common factors =2 x 1 = 2

LCM(750,478) = ( 750 × 478 ) / 2

LCM(750,478) = 358500 / 2

LCM(750,478) = 179250


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 1039/750, 7785/478

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 1039/750, 7785/478?

Answer: GCF of Numerators as per given numbers 1039/750, 7785/478 is

GCF of Numerators i.e. for 1039,7785 is 1

LCM of denominators i.e. for 750,478 is 179250.

Thus, GCF of Fractions is 1/179250.Finally, GCF of Fractions for 1039/750, 7785/478 is 1/179250.