Greatest Common Factor of 62/297, 484/685, 576/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/297, 484/685, 576/313

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 62/297,484/685,576/313

Given fractions are 62/297,484/685,576/313

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 62,484,576

Greatest Common Factor of Numerators i.e. GCF of 62,484,576 is 2 .

LCM of Denominators means LCM of 297,685,313 as per the given fractions.

LCM of 297,685,313 is 63678285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,484,576

GCF of Fractions 62/297,484/685,576/313 is 2/63678285

2 62, 484, 576
31, 242, 288

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,484,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,484,576 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 62,484,576 . The biggest common factor number is the GCF number.
So the greatest common factor 62,484,576 is 2.

Lets's calculate LCM of 297,685,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 63678285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63678285

Therefore, the GCF of Fractions 62/297,484/685,576/313 is 2/63678285

Least Common Multiple of 297,685,313 with GCF Formula

Least Common Multiple of 297,685,313 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 297,685,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,685,313) = 1

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

GCF(297,685,313) x common factors =1 x 1 = 1

LCM(297,685,313) = ( 297 × 685 × 313 ) / 1

LCM(297,685,313) = 63678285 / 1

LCM(297,685,313) = 63678285


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 62/297, 484/685, 576/313

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 62/297, 484/685, 576/313?

Answer: GCF of Numerators as per given numbers 62/297, 484/685, 576/313 is

GCF of Numerators i.e. for 62,484,576 is 2

LCM of denominators i.e. for 297,685,313 is 63678285.

Thus, GCF of Fractions is 2/63678285.Finally, GCF of Fractions for 62/297, 484/685, 576/313 is 2/63678285.