Greatest Common Factor of 7202/545, 5120/8842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7202/545, 5120/8842

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 7202/545,5120/8842

Given fractions are 7202/545,5120/8842

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 7202,5120

Greatest Common Factor of Numerators i.e. GCF of 7202,5120 is 2 .

LCM of Denominators means LCM of 545,8842 as per the given fractions.

LCM of 545,8842 is 4818890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7202,5120

GCF of Fractions 7202/545,5120/8842 is 2/4818890

2 7202, 5120
3601, 2560

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

Greatest Common Factor of 7202,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 7202,5120 By Matching Biggest Common Factor Method

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 7202,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 7202,5120 is 2.

Lets's calculate LCM of 545,8842

Given numbers has no common factors except 1. So, there LCM is their product i.e 4818890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4818890

Therefore, the GCF of Fractions 7202/545,5120/8842 is 2/4818890

Least Common Multiple of 545,8842 with GCF Formula

Least Common Multiple of 545,8842 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 545,8842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,8842) = 1

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

GCF(545,8842) x common factors =1 x 1 = 1

LCM(545,8842) = ( 545 × 8842 ) / 1

LCM(545,8842) = 4818890 / 1

LCM(545,8842) = 4818890


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 7202/545, 5120/8842

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 7202/545, 5120/8842?

Answer: GCF of Numerators as per given numbers 7202/545, 5120/8842 is

GCF of Numerators i.e. for 7202,5120 is 2

LCM of denominators i.e. for 545,8842 is 4818890.

Thus, GCF of Fractions is 2/4818890.Finally, GCF of Fractions for 7202/545, 5120/8842 is 2/4818890.