Greatest Common Factor of 1666/96, 7720/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1666/96, 7720/372

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 1666/96,7720/372

Given fractions are 1666/96,7720/372

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 1666,7720

Greatest Common Factor of Numerators i.e. GCF of 1666,7720 is 2 .

LCM of Denominators means LCM of 96,372 as per the given fractions.

LCM of 96,372 is 2976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1666,7720

GCF of Fractions 1666/96,7720/372 is 2/2976

2 1666, 7720
833, 3860

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

Greatest Common Factor of 1666,7720 By Matching Biggest Common Factor Method

Greatest Common Factor of 1666,7720 By Matching Biggest Common Factor Method

Factors of 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1,2,7,14,17,34,49,98,119,238,833,1666

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Greatest Common Factor

We found the factors 1666,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 1666,7720 is 2.

Lets's calculate LCM of 96,372

2 96, 372
2 48, 186
3 24, 93
8, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 31 = 2976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2976

Therefore, the GCF of Fractions 1666/96,7720/372 is 2/2976

Least Common Multiple of 96,372 with GCF Formula

Least Common Multiple of 96,372 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 96,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,372) = 12

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

GCF(96,372) x common factors =12 x 1 = 12

LCM(96,372) = ( 96 × 372 ) / 12

LCM(96,372) = 35712 / 12

LCM(96,372) = 2976


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 1666/96, 7720/372

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 1666/96, 7720/372?

Answer: GCF of Numerators as per given numbers 1666/96, 7720/372 is

GCF of Numerators i.e. for 1666,7720 is 2

LCM of denominators i.e. for 96,372 is 2976.

Thus, GCF of Fractions is 2/2976.Finally, GCF of Fractions for 1666/96, 7720/372 is 2/2976.