Greatest Common Factor of 306/28, 537/9740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/28, 537/9740

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 306/28,537/9740

Given fractions are 306/28,537/9740

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 306,537

Greatest Common Factor of Numerators i.e. GCF of 306,537 is 3 .

LCM of Denominators means LCM of 28,9740 as per the given fractions.

LCM of 28,9740 is 68180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,537

GCF of Fractions 306/28,537/9740 is 3/68180

3 306, 537
102, 179

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 306,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,537 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 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 306,537 . The biggest common factor number is the GCF number.
So the greatest common factor 306,537 is 3.

Lets's calculate LCM of 28,9740

2 28, 9740
2 14, 4870
7, 2435

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2435 = 68180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68180

Therefore, the GCF of Fractions 306/28,537/9740 is 3/68180

Least Common Multiple of 28,9740 with GCF Formula

Least Common Multiple of 28,9740 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 28,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,9740) = 4

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

GCF(28,9740) x common factors =4 x 1 = 4

LCM(28,9740) = ( 28 × 9740 ) / 4

LCM(28,9740) = 272720 / 4

LCM(28,9740) = 68180


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 306/28, 537/9740

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 306/28, 537/9740?

Answer: GCF of Numerators as per given numbers 306/28, 537/9740 is

GCF of Numerators i.e. for 306,537 is 3

LCM of denominators i.e. for 28,9740 is 68180.

Thus, GCF of Fractions is 3/68180.Finally, GCF of Fractions for 306/28, 537/9740 is 3/68180.