Greatest Common Factor of 7280/799, 5788/1696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7280/799, 5788/1696

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 7280/799,5788/1696

Given fractions are 7280/799,5788/1696

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 7280,5788

Greatest Common Factor of Numerators i.e. GCF of 7280,5788 is 4 .

LCM of Denominators means LCM of 799,1696 as per the given fractions.

LCM of 799,1696 is 1355104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7280,5788

GCF of Fractions 7280/799,5788/1696 is 4/1355104

2 7280, 5788
2 3640, 2894
1820, 1447

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7280,5788 By Matching Biggest Common Factor Method

Greatest Common Factor of 7280,5788 By Matching Biggest Common Factor Method

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Greatest Common Factor

We found the factors 7280,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 7280,5788 is 4.

Lets's calculate LCM of 799,1696

Given numbers has no common factors except 1. So, there LCM is their product i.e 1355104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1355104

Therefore, the GCF of Fractions 7280/799,5788/1696 is 4/1355104

Least Common Multiple of 799,1696 with GCF Formula

Least Common Multiple of 799,1696 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 799,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,1696) = 1

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

GCF(799,1696) x common factors =1 x 1 = 1

LCM(799,1696) = ( 799 × 1696 ) / 1

LCM(799,1696) = 1355104 / 1

LCM(799,1696) = 1355104


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 7280/799, 5788/1696

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 7280/799, 5788/1696?

Answer: GCF of Numerators as per given numbers 7280/799, 5788/1696 is

GCF of Numerators i.e. for 7280,5788 is 4

LCM of denominators i.e. for 799,1696 is 1355104.

Thus, GCF of Fractions is 4/1355104.Finally, GCF of Fractions for 7280/799, 5788/1696 is 4/1355104.