Greatest Common Factor of 7350/215, 2416/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7350/215, 2416/138

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 7350/215,2416/138

Given fractions are 7350/215,2416/138

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 7350,2416

Greatest Common Factor of Numerators i.e. GCF of 7350,2416 is 2 .

LCM of Denominators means LCM of 215,138 as per the given fractions.

LCM of 215,138 is 29670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7350,2416

GCF of Fractions 7350/215,2416/138 is 2/29670

2 7350, 2416
3675, 1208

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

Greatest Common Factor of 7350,2416 By Matching Biggest Common Factor Method

Greatest Common Factor of 7350,2416 By Matching Biggest Common Factor Method

Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350

Factors of 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1,2,4,8,16,151,302,604,1208,2416

Greatest Common Factor

We found the factors 7350,2416 . The biggest common factor number is the GCF number.
So the greatest common factor 7350,2416 is 2.

Lets's calculate LCM of 215,138

Given numbers has no common factors except 1. So, there LCM is their product i.e 29670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29670

Therefore, the GCF of Fractions 7350/215,2416/138 is 2/29670

Least Common Multiple of 215,138 with GCF Formula

Least Common Multiple of 215,138 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 215,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,138) = 1

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

GCF(215,138) x common factors =1 x 1 = 1

LCM(215,138) = ( 215 × 138 ) / 1

LCM(215,138) = 29670 / 1

LCM(215,138) = 29670


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 7350/215, 2416/138

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 7350/215, 2416/138?

Answer: GCF of Numerators as per given numbers 7350/215, 2416/138 is

GCF of Numerators i.e. for 7350,2416 is 2

LCM of denominators i.e. for 215,138 is 29670.

Thus, GCF of Fractions is 2/29670.Finally, GCF of Fractions for 7350/215, 2416/138 is 2/29670.