Greatest Common Factor of 31/741, 290/251, 314/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/741, 290/251, 314/647

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 31/741,290/251,314/647

Given fractions are 31/741,290/251,314/647

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 31,290,314

Greatest Common Factor of Numerators i.e. GCF of 31,290,314 is 1 .

LCM of Denominators means LCM of 741,251,647 as per the given fractions.

LCM of 741,251,647 is 120336177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,290,314

GCF of Fractions 31/741,290/251,314/647 is 1/120336177

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

Greatest Common Factor of 31,290,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,290,314 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 31,290,314 . The biggest common factor number is the GCF number.
So the greatest common factor 31,290,314 is 1.

Lets's calculate LCM of 741,251,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 120336177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120336177

Therefore, the GCF of Fractions 31/741,290/251,314/647 is 1/120336177

Least Common Multiple of 741,251,647 with GCF Formula

Least Common Multiple of 741,251,647 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 741,251,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,251,647) = 1

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

GCF(741,251,647) x common factors =1 x 1 = 1

LCM(741,251,647) = ( 741 × 251 × 647 ) / 1

LCM(741,251,647) = 120336177 / 1

LCM(741,251,647) = 120336177


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 31/741, 290/251, 314/647

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 31/741, 290/251, 314/647?

Answer: GCF of Numerators as per given numbers 31/741, 290/251, 314/647 is

GCF of Numerators i.e. for 31,290,314 is 1

LCM of denominators i.e. for 741,251,647 is 120336177.

Thus, GCF of Fractions is 1/120336177.Finally, GCF of Fractions for 31/741, 290/251, 314/647 is 1/120336177.