Greatest Common Factor of 39/616, 989/440, 703/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/616, 989/440, 703/927

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 39/616,989/440,703/927

Given fractions are 39/616,989/440,703/927

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 39,989,703

Greatest Common Factor of Numerators i.e. GCF of 39,989,703 is 1 .

LCM of Denominators means LCM of 616,440,927 as per the given fractions.

LCM of 616,440,927 is 2855160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,989,703

GCF of Fractions 39/616,989/440,703/927 is 1/2855160

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

Greatest Common Factor of 39,989,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,989,703 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 39,989,703 . The biggest common factor number is the GCF number.
So the greatest common factor 39,989,703 is 1.

Lets's calculate LCM of 616,440,927

2 616, 440, 927
2 308, 220, 927
2 154, 110, 927
11 77, 55, 927
7, 5, 927

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 5 x 927 = 2855160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855160

Therefore, the GCF of Fractions 39/616,989/440,703/927 is 1/2855160

Least Common Multiple of 616,440,927 with GCF Formula

Least Common Multiple of 616,440,927 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 616,440,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,440,927) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(616,440,927) x common factors =1 x 88 = 88

LCM(616,440,927) = ( 616 × 440 × 927 ) / 88

LCM(616,440,927) = 251254080 / 88

LCM(616,440,927) = 2855160


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 39/616, 989/440, 703/927

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 39/616, 989/440, 703/927?

Answer: GCF of Numerators as per given numbers 39/616, 989/440, 703/927 is

GCF of Numerators i.e. for 39,989,703 is 1

LCM of denominators i.e. for 616,440,927 is 2855160.

Thus, GCF of Fractions is 1/2855160.Finally, GCF of Fractions for 39/616, 989/440, 703/927 is 1/2855160.