Greatest Common Factor of 2360/679, 5374/9988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2360/679, 5374/9988

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 2360/679,5374/9988

Given fractions are 2360/679,5374/9988

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 2360,5374

Greatest Common Factor of Numerators i.e. GCF of 2360,5374 is 2 .

LCM of Denominators means LCM of 679,9988 as per the given fractions.

LCM of 679,9988 is 6781852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2360,5374

GCF of Fractions 2360/679,5374/9988 is 2/6781852

2 2360, 5374
1180, 2687

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

Greatest Common Factor of 2360,5374 By Matching Biggest Common Factor Method

Greatest Common Factor of 2360,5374 By Matching Biggest Common Factor Method

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360

Factors of 5374

List of positive integer factors of 5374 that divides 5374 without a remainder.

1,2,2687,5374

Greatest Common Factor

We found the factors 2360,5374 . The biggest common factor number is the GCF number.
So the greatest common factor 2360,5374 is 2.

Lets's calculate LCM of 679,9988

Given numbers has no common factors except 1. So, there LCM is their product i.e 6781852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6781852

Therefore, the GCF of Fractions 2360/679,5374/9988 is 2/6781852

Least Common Multiple of 679,9988 with GCF Formula

Least Common Multiple of 679,9988 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 679,9988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,9988) = 1

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

GCF(679,9988) x common factors =1 x 1 = 1

LCM(679,9988) = ( 679 × 9988 ) / 1

LCM(679,9988) = 6781852 / 1

LCM(679,9988) = 6781852


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 2360/679, 5374/9988

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 2360/679, 5374/9988?

Answer: GCF of Numerators as per given numbers 2360/679, 5374/9988 is

GCF of Numerators i.e. for 2360,5374 is 2

LCM of denominators i.e. for 679,9988 is 6781852.

Thus, GCF of Fractions is 2/6781852.Finally, GCF of Fractions for 2360/679, 5374/9988 is 2/6781852.