Greatest Common Factor of 968/90, 378/44, 319/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/90, 378/44, 319/709

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 968/90,378/44,319/709

Given fractions are 968/90,378/44,319/709

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 968,378,319

Greatest Common Factor of Numerators i.e. GCF of 968,378,319 is 1 .

LCM of Denominators means LCM of 90,44,709 as per the given fractions.

LCM of 90,44,709 is 1403820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,378,319

GCF of Fractions 968/90,378/44,319/709 is 1/1403820

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

Greatest Common Factor of 968,378,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,378,319 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 968,378,319 . The biggest common factor number is the GCF number.
So the greatest common factor 968,378,319 is 1.

Lets's calculate LCM of 90,44,709

2 90, 44, 709
45, 22, 709

∴ So the LCM of the given numbers is 2 x 45 x 22 x 709 = 1403820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1403820

Therefore, the GCF of Fractions 968/90,378/44,319/709 is 1/1403820

Least Common Multiple of 90,44,709 with GCF Formula

Least Common Multiple of 90,44,709 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 90,44,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,44,709) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,44,709) x common factors =1 x 2 = 2

LCM(90,44,709) = ( 90 × 44 × 709 ) / 2

LCM(90,44,709) = 2807640 / 2

LCM(90,44,709) = 1403820


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 968/90, 378/44, 319/709

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 968/90, 378/44, 319/709?

Answer: GCF of Numerators as per given numbers 968/90, 378/44, 319/709 is

GCF of Numerators i.e. for 968,378,319 is 1

LCM of denominators i.e. for 90,44,709 is 1403820.

Thus, GCF of Fractions is 1/1403820.Finally, GCF of Fractions for 968/90, 378/44, 319/709 is 1/1403820.