Greatest Common Factor of 7210/967, 2084/1338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7210/967, 2084/1338

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 7210/967,2084/1338

Given fractions are 7210/967,2084/1338

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 7210,2084

Greatest Common Factor of Numerators i.e. GCF of 7210,2084 is 2 .

LCM of Denominators means LCM of 967,1338 as per the given fractions.

LCM of 967,1338 is 1293846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7210,2084

GCF of Fractions 7210/967,2084/1338 is 2/1293846

2 7210, 2084
3605, 1042

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

Greatest Common Factor of 7210,2084 By Matching Biggest Common Factor Method

Greatest Common Factor of 7210,2084 By Matching Biggest Common Factor Method

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1,2,4,521,1042,2084

Greatest Common Factor

We found the factors 7210,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 7210,2084 is 2.

Lets's calculate LCM of 967,1338

Given numbers has no common factors except 1. So, there LCM is their product i.e 1293846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1293846

Therefore, the GCF of Fractions 7210/967,2084/1338 is 2/1293846

Least Common Multiple of 967,1338 with GCF Formula

Least Common Multiple of 967,1338 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 967,1338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,1338) = 1

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

GCF(967,1338) x common factors =1 x 1 = 1

LCM(967,1338) = ( 967 × 1338 ) / 1

LCM(967,1338) = 1293846 / 1

LCM(967,1338) = 1293846


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 7210/967, 2084/1338

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 7210/967, 2084/1338?

Answer: GCF of Numerators as per given numbers 7210/967, 2084/1338 is

GCF of Numerators i.e. for 7210,2084 is 2

LCM of denominators i.e. for 967,1338 is 1293846.

Thus, GCF of Fractions is 2/1293846.Finally, GCF of Fractions for 7210/967, 2084/1338 is 2/1293846.