Greatest Common Factor of 9072/805, 5109/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9072/805, 5109/682

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 9072/805,5109/682

Given fractions are 9072/805,5109/682

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 9072,5109

Greatest Common Factor of Numerators i.e. GCF of 9072,5109 is 3 .

LCM of Denominators means LCM of 805,682 as per the given fractions.

LCM of 805,682 is 549010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9072,5109

GCF of Fractions 9072/805,5109/682 is 3/549010

3 9072, 5109
3024, 1703

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

Greatest Common Factor of 9072,5109 By Matching Biggest Common Factor Method

Greatest Common Factor of 9072,5109 By Matching Biggest Common Factor Method

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Greatest Common Factor

We found the factors 9072,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,5109 is 3.

Lets's calculate LCM of 805,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 549010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/549010

Therefore, the GCF of Fractions 9072/805,5109/682 is 3/549010

Least Common Multiple of 805,682 with GCF Formula

Least Common Multiple of 805,682 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 805,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,682) = 1

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

GCF(805,682) x common factors =1 x 1 = 1

LCM(805,682) = ( 805 × 682 ) / 1

LCM(805,682) = 549010 / 1

LCM(805,682) = 549010


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 9072/805, 5109/682

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 9072/805, 5109/682?

Answer: GCF of Numerators as per given numbers 9072/805, 5109/682 is

GCF of Numerators i.e. for 9072,5109 is 3

LCM of denominators i.e. for 805,682 is 549010.

Thus, GCF of Fractions is 3/549010.Finally, GCF of Fractions for 9072/805, 5109/682 is 3/549010.