Greatest Common Factor of 120/210, 5728/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/210, 5728/797

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 120/210,5728/797

Given fractions are 120/210,5728/797

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 120,5728

Greatest Common Factor of Numerators i.e. GCF of 120,5728 is 8 .

LCM of Denominators means LCM of 210,797 as per the given fractions.

LCM of 210,797 is 167370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,5728

GCF of Fractions 120/210,5728/797 is 8/167370

2 120, 5728
2 60, 2864
2 30, 1432
15, 716

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 120,5728 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,5728 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 5728

List of positive integer factors of 5728 that divides 5728 without a remainder.

1,2,4,8,16,32,179,358,716,1432,2864,5728

Greatest Common Factor

We found the factors 120,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 120,5728 is 8.

Lets's calculate LCM of 210,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 167370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/167370

Therefore, the GCF of Fractions 120/210,5728/797 is 8/167370

Least Common Multiple of 210,797 with GCF Formula

Least Common Multiple of 210,797 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 210,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,797) = 1

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

GCF(210,797) x common factors =1 x 1 = 1

LCM(210,797) = ( 210 × 797 ) / 1

LCM(210,797) = 167370 / 1

LCM(210,797) = 167370


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 120/210, 5728/797

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 120/210, 5728/797?

Answer: GCF of Numerators as per given numbers 120/210, 5728/797 is

GCF of Numerators i.e. for 120,5728 is 8

LCM of denominators i.e. for 210,797 is 167370.

Thus, GCF of Fractions is 8/167370.Finally, GCF of Fractions for 120/210, 5728/797 is 8/167370.