Greatest Common Factor of 2370/993, 7922/7106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2370/993, 7922/7106

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 2370/993,7922/7106

Given fractions are 2370/993,7922/7106

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 2370,7922

Greatest Common Factor of Numerators i.e. GCF of 2370,7922 is 2 .

LCM of Denominators means LCM of 993,7106 as per the given fractions.

LCM of 993,7106 is 7056258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2370,7922

GCF of Fractions 2370/993,7922/7106 is 2/7056258

2 2370, 7922
1185, 3961

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

Greatest Common Factor of 2370,7922 By Matching Biggest Common Factor Method

Greatest Common Factor of 2370,7922 By Matching Biggest Common Factor Method

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

Factors of 7922

List of positive integer factors of 7922 that divides 7922 without a remainder.

1,2,17,34,233,466,3961,7922

Greatest Common Factor

We found the factors 2370,7922 . The biggest common factor number is the GCF number.
So the greatest common factor 2370,7922 is 2.

Lets's calculate LCM of 993,7106

Given numbers has no common factors except 1. So, there LCM is their product i.e 7056258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7056258

Therefore, the GCF of Fractions 2370/993,7922/7106 is 2/7056258

Least Common Multiple of 993,7106 with GCF Formula

Least Common Multiple of 993,7106 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 993,7106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,7106) = 1

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

GCF(993,7106) x common factors =1 x 1 = 1

LCM(993,7106) = ( 993 × 7106 ) / 1

LCM(993,7106) = 7056258 / 1

LCM(993,7106) = 7056258


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 2370/993, 7922/7106

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 2370/993, 7922/7106?

Answer: GCF of Numerators as per given numbers 2370/993, 7922/7106 is

GCF of Numerators i.e. for 2370,7922 is 2

LCM of denominators i.e. for 993,7106 is 7056258.

Thus, GCF of Fractions is 2/7056258.Finally, GCF of Fractions for 2370/993, 7922/7106 is 2/7056258.