Greatest Common Factor of 7502/163, 3322/2884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7502/163, 3322/2884

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 7502/163,3322/2884

Given fractions are 7502/163,3322/2884

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 7502,3322

Greatest Common Factor of Numerators i.e. GCF of 7502,3322 is 22 .

LCM of Denominators means LCM of 163,2884 as per the given fractions.

LCM of 163,2884 is 470092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7502,3322

GCF of Fractions 7502/163,3322/2884 is 22/470092

2 7502, 3322
11 3751, 1661
341, 151

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 7502,3322 By Matching Biggest Common Factor Method

Greatest Common Factor of 7502,3322 By Matching Biggest Common Factor Method

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Greatest Common Factor

We found the factors 7502,3322 . The biggest common factor number is the GCF number.
So the greatest common factor 7502,3322 is 22.

Lets's calculate LCM of 163,2884

Given numbers has no common factors except 1. So, there LCM is their product i.e 470092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/470092

Therefore, the GCF of Fractions 7502/163,3322/2884 is 22/470092

Least Common Multiple of 163,2884 with GCF Formula

Least Common Multiple of 163,2884 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 163,2884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,2884) = 1

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

GCF(163,2884) x common factors =1 x 1 = 1

LCM(163,2884) = ( 163 × 2884 ) / 1

LCM(163,2884) = 470092 / 1

LCM(163,2884) = 470092


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 7502/163, 3322/2884

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 7502/163, 3322/2884?

Answer: GCF of Numerators as per given numbers 7502/163, 3322/2884 is

GCF of Numerators i.e. for 7502,3322 is 22

LCM of denominators i.e. for 163,2884 is 470092.

Thus, GCF of Fractions is 22/470092.Finally, GCF of Fractions for 7502/163, 3322/2884 is 22/470092.