Greatest Common Factor of 307/779, 552/451, 304/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/779, 552/451, 304/714

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 307/779,552/451,304/714

Given fractions are 307/779,552/451,304/714

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 307,552,304

Greatest Common Factor of Numerators i.e. GCF of 307,552,304 is 1 .

LCM of Denominators means LCM of 779,451,714 as per the given fractions.

LCM of 779,451,714 is 6118266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,552,304

GCF of Fractions 307/779,552/451,304/714 is 1/6118266

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

Greatest Common Factor of 307,552,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,552,304 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 307,552,304 . The biggest common factor number is the GCF number.
So the greatest common factor 307,552,304 is 1.

Lets's calculate LCM of 779,451,714

41 779, 451, 714
19, 11, 714

∴ So the LCM of the given numbers is 41 x 19 x 11 x 714 = 6118266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6118266

Therefore, the GCF of Fractions 307/779,552/451,304/714 is 1/6118266

Least Common Multiple of 779,451,714 with GCF Formula

Least Common Multiple of 779,451,714 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 779,451,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,451,714) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(779,451,714) x common factors =1 x 41 = 41

LCM(779,451,714) = ( 779 × 451 × 714 ) / 41

LCM(779,451,714) = 250848906 / 41

LCM(779,451,714) = 6118266


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 307/779, 552/451, 304/714

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 307/779, 552/451, 304/714?

Answer: GCF of Numerators as per given numbers 307/779, 552/451, 304/714 is

GCF of Numerators i.e. for 307,552,304 is 1

LCM of denominators i.e. for 779,451,714 is 6118266.

Thus, GCF of Fractions is 1/6118266.Finally, GCF of Fractions for 307/779, 552/451, 304/714 is 1/6118266.