Greatest Common Factor of 397/59, 314/35, 107/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/59, 314/35, 107/484

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 397/59,314/35,107/484

Given fractions are 397/59,314/35,107/484

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 397,314,107

Greatest Common Factor of Numerators i.e. GCF of 397,314,107 is 1 .

LCM of Denominators means LCM of 59,35,484 as per the given fractions.

LCM of 59,35,484 is 999460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,314,107

GCF of Fractions 397/59,314/35,107/484 is 1/999460

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

Greatest Common Factor of 397,314,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,314,107 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 314

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

1,2,157,314

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 397,314,107 . The biggest common factor number is the GCF number.
So the greatest common factor 397,314,107 is 1.

Lets's calculate LCM of 59,35,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 999460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999460

Therefore, the GCF of Fractions 397/59,314/35,107/484 is 1/999460

Least Common Multiple of 59,35,484 with GCF Formula

Least Common Multiple of 59,35,484 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 59,35,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,35,484) = 1

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

GCF(59,35,484) x common factors =1 x 1 = 1

LCM(59,35,484) = ( 59 × 35 × 484 ) / 1

LCM(59,35,484) = 999460 / 1

LCM(59,35,484) = 999460


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 397/59, 314/35, 107/484

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 397/59, 314/35, 107/484?

Answer: GCF of Numerators as per given numbers 397/59, 314/35, 107/484 is

GCF of Numerators i.e. for 397,314,107 is 1

LCM of denominators i.e. for 59,35,484 is 999460.

Thus, GCF of Fractions is 1/999460.Finally, GCF of Fractions for 397/59, 314/35, 107/484 is 1/999460.