Greatest Common Factor of 7219/796, 2370/9974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7219/796, 2370/9974

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 7219/796,2370/9974

Given fractions are 7219/796,2370/9974

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 7219,2370

Greatest Common Factor of Numerators i.e. GCF of 7219,2370 is 1 .

LCM of Denominators means LCM of 796,9974 as per the given fractions.

LCM of 796,9974 is 3969652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7219,2370

GCF of Fractions 7219/796,2370/9974 is 1/3969652

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7219,2370 By Matching Biggest Common Factor Method

Greatest Common Factor of 7219,2370 By Matching Biggest Common Factor Method

Factors of 7219

List of positive integer factors of 7219 that divides 7219 without a remainder.

1,7219

Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370

Greatest Common Factor

We found the factors 7219,2370 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,2370 is 1.

Lets's calculate LCM of 796,9974

2 796, 9974
398, 4987

∴ So the LCM of the given numbers is 2 x 398 x 4987 = 3969652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3969652

Therefore, the GCF of Fractions 7219/796,2370/9974 is 1/3969652

Least Common Multiple of 796,9974 with GCF Formula

Least Common Multiple of 796,9974 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 796,9974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,9974) = 2

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

GCF(796,9974) x common factors =2 x 1 = 2

LCM(796,9974) = ( 796 × 9974 ) / 2

LCM(796,9974) = 7939304 / 2

LCM(796,9974) = 3969652


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 7219/796, 2370/9974

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 7219/796, 2370/9974?

Answer: GCF of Numerators as per given numbers 7219/796, 2370/9974 is

GCF of Numerators i.e. for 7219,2370 is 1

LCM of denominators i.e. for 796,9974 is 3969652.

Thus, GCF of Fractions is 1/3969652.Finally, GCF of Fractions for 7219/796, 2370/9974 is 1/3969652.