Greatest Common Factor of 7/28, 16/96, 73/304, 995/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/28, 16/96, 73/304, 995/951

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 7/28,16/96,73/304,995/951

Given fractions are 7/28,16/96,73/304,995/951

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 7,16,73,995

Greatest Common Factor of Numerators i.e. GCF of 7,16,73,995 is 1 .

LCM of Denominators means LCM of 28,96,304,951 as per the given fractions.

LCM of 28,96,304,951 is 4047456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,16,73,995

GCF of Fractions 7/28,16/96,73/304,995/951 is 1/4047456

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

Greatest Common Factor of 7,16,73,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,16,73,995 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 7,16,73,995 . The biggest common factor number is the GCF number.
So the greatest common factor 7,16,73,995 is 1.

Lets's calculate LCM of 28,96,304,951

2 28, 96, 304, 951
2 14, 48, 152, 951
2 7, 24, 76, 951
2 7, 12, 38, 951
3 7, 6, 19, 951
7, 2, 19, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 19 x 317 = 4047456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4047456

Therefore, the GCF of Fractions 7/28,16/96,73/304,995/951 is 1/4047456

Least Common Multiple of 28,96,304,951 with GCF Formula

Least Common Multiple of 28,96,304,951 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 28,96,304,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,304,951) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(28,96,304,951) x common factors =1 x 192 = 192

LCM(28,96,304,951) = ( 28 × 96 × 304 × 951 ) / 192

LCM(28,96,304,951) = 777111552 / 192

LCM(28,96,304,951) = 4047456


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 7/28, 16/96, 73/304, 995/951

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 7/28, 16/96, 73/304, 995/951?

Answer: GCF of Numerators as per given numbers 7/28, 16/96, 73/304, 995/951 is

GCF of Numerators i.e. for 7,16,73,995 is 1

LCM of denominators i.e. for 28,96,304,951 is 4047456.

Thus, GCF of Fractions is 1/4047456.Finally, GCF of Fractions for 7/28, 16/96, 73/304, 995/951 is 1/4047456.