Greatest Common Factor of 306/99, 458/74, 639/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/99, 458/74, 639/300

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 306/99,458/74,639/300

Given fractions are 306/99,458/74,639/300

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 306,458,639

Greatest Common Factor of Numerators i.e. GCF of 306,458,639 is 1 .

LCM of Denominators means LCM of 99,74,300 as per the given fractions.

LCM of 99,74,300 is 366300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,458,639

GCF of Fractions 306/99,458/74,639/300 is 1/366300

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

Greatest Common Factor of 306,458,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,458,639 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 306,458,639 . The biggest common factor number is the GCF number.
So the greatest common factor 306,458,639 is 1.

Lets's calculate LCM of 99,74,300

2 99, 74, 300
3 99, 37, 150
33, 37, 50

∴ So the LCM of the given numbers is 2 x 3 x 33 x 37 x 50 = 366300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366300

Therefore, the GCF of Fractions 306/99,458/74,639/300 is 1/366300

Least Common Multiple of 99,74,300 with GCF Formula

Least Common Multiple of 99,74,300 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 99,74,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,74,300) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,74,300) x common factors =1 x 6 = 6

LCM(99,74,300) = ( 99 × 74 × 300 ) / 6

LCM(99,74,300) = 2197800 / 6

LCM(99,74,300) = 366300


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 306/99, 458/74, 639/300

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 306/99, 458/74, 639/300?

Answer: GCF of Numerators as per given numbers 306/99, 458/74, 639/300 is

GCF of Numerators i.e. for 306,458,639 is 1

LCM of denominators i.e. for 99,74,300 is 366300.

Thus, GCF of Fractions is 1/366300.Finally, GCF of Fractions for 306/99, 458/74, 639/300 is 1/366300.