Greatest Common Factor of 996/60, 450/49, 413/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 996/60, 450/49, 413/297

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 996/60,450/49,413/297

Given fractions are 996/60,450/49,413/297

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 996,450,413

Greatest Common Factor of Numerators i.e. GCF of 996,450,413 is 1 .

LCM of Denominators means LCM of 60,49,297 as per the given fractions.

LCM of 60,49,297 is 291060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 996,450,413

GCF of Fractions 996/60,450/49,413/297 is 1/291060

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

Greatest Common Factor of 996,450,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,450,413 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 996,450,413 . The biggest common factor number is the GCF number.
So the greatest common factor 996,450,413 is 1.

Lets's calculate LCM of 60,49,297

3 60, 49, 297
20, 49, 99

∴ So the LCM of the given numbers is 3 x 20 x 49 x 99 = 291060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291060

Therefore, the GCF of Fractions 996/60,450/49,413/297 is 1/291060

Least Common Multiple of 60,49,297 with GCF Formula

Least Common Multiple of 60,49,297 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 60,49,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,49,297) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(60,49,297) x common factors =1 x 3 = 3

LCM(60,49,297) = ( 60 × 49 × 297 ) / 3

LCM(60,49,297) = 873180 / 3

LCM(60,49,297) = 291060


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 996/60, 450/49, 413/297

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 996/60, 450/49, 413/297?

Answer: GCF of Numerators as per given numbers 996/60, 450/49, 413/297 is

GCF of Numerators i.e. for 996,450,413 is 1

LCM of denominators i.e. for 60,49,297 is 291060.

Thus, GCF of Fractions is 1/291060.Finally, GCF of Fractions for 996/60, 450/49, 413/297 is 1/291060.