Greatest Common Factor of 9975/103, 8184/3202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9975/103, 8184/3202

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 9975/103,8184/3202

Given fractions are 9975/103,8184/3202

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 9975,8184

Greatest Common Factor of Numerators i.e. GCF of 9975,8184 is 3 .

LCM of Denominators means LCM of 103,3202 as per the given fractions.

LCM of 103,3202 is 329806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9975,8184

GCF of Fractions 9975/103,8184/3202 is 3/329806

3 9975, 8184
3325, 2728

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

Greatest Common Factor of 9975,8184 By Matching Biggest Common Factor Method

Greatest Common Factor of 9975,8184 By Matching Biggest Common Factor Method

Factors of 9975

List of positive integer factors of 9975 that divides 9975 without a remainder.

1,3,5,7,15,19,21,25,35,57,75,95,105,133,175,285,399,475,525,665,1425,1995,3325,9975

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Greatest Common Factor

We found the factors 9975,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 9975,8184 is 3.

Lets's calculate LCM of 103,3202

Given numbers has no common factors except 1. So, there LCM is their product i.e 329806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/329806

Therefore, the GCF of Fractions 9975/103,8184/3202 is 3/329806

Least Common Multiple of 103,3202 with GCF Formula

Least Common Multiple of 103,3202 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 103,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,3202) = 1

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

GCF(103,3202) x common factors =1 x 1 = 1

LCM(103,3202) = ( 103 × 3202 ) / 1

LCM(103,3202) = 329806 / 1

LCM(103,3202) = 329806


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 9975/103, 8184/3202

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 9975/103, 8184/3202?

Answer: GCF of Numerators as per given numbers 9975/103, 8184/3202 is

GCF of Numerators i.e. for 9975,8184 is 3

LCM of denominators i.e. for 103,3202 is 329806.

Thus, GCF of Fractions is 3/329806.Finally, GCF of Fractions for 9975/103, 8184/3202 is 3/329806.