Greatest Common Factor of 623/777, 5644/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 623/777, 5644/309

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 623/777,5644/309

Given fractions are 623/777,5644/309

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 623,5644

Greatest Common Factor of Numerators i.e. GCF of 623,5644 is 1 .

LCM of Denominators means LCM of 777,309 as per the given fractions.

LCM of 777,309 is 80031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 623,5644

GCF of Fractions 623/777,5644/309 is 1/80031

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

Greatest Common Factor of 623,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,5644 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 623,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 623,5644 is 1.

Lets's calculate LCM of 777,309

3 777, 309
259, 103

∴ So the LCM of the given numbers is 3 x 259 x 103 = 80031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80031

Therefore, the GCF of Fractions 623/777,5644/309 is 1/80031

Least Common Multiple of 777,309 with GCF Formula

Least Common Multiple of 777,309 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 777,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,309) = 3

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

GCF(777,309) x common factors =3 x 1 = 3

LCM(777,309) = ( 777 × 309 ) / 3

LCM(777,309) = 240093 / 3

LCM(777,309) = 80031


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 623/777, 5644/309

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 623/777, 5644/309?

Answer: GCF of Numerators as per given numbers 623/777, 5644/309 is

GCF of Numerators i.e. for 623,5644 is 1

LCM of denominators i.e. for 777,309 is 80031.

Thus, GCF of Fractions is 1/80031.Finally, GCF of Fractions for 623/777, 5644/309 is 1/80031.