Greatest Common Factor of 378/830, 7186/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 378/830, 7186/391

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 378/830,7186/391

Given fractions are 378/830,7186/391

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 378,7186

Greatest Common Factor of Numerators i.e. GCF of 378,7186 is 2 .

LCM of Denominators means LCM of 830,391 as per the given fractions.

LCM of 830,391 is 324530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 378,7186

GCF of Fractions 378/830,7186/391 is 2/324530

2 378, 7186
189, 3593

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

Greatest Common Factor of 378,7186 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,7186 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 7186

List of positive integer factors of 7186 that divides 7186 without a remainder.

1,2,3593,7186

Greatest Common Factor

We found the factors 378,7186 . The biggest common factor number is the GCF number.
So the greatest common factor 378,7186 is 2.

Lets's calculate LCM of 830,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 324530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324530

Therefore, the GCF of Fractions 378/830,7186/391 is 2/324530

Least Common Multiple of 830,391 with GCF Formula

Least Common Multiple of 830,391 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 830,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,391) = 1

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

GCF(830,391) x common factors =1 x 1 = 1

LCM(830,391) = ( 830 × 391 ) / 1

LCM(830,391) = 324530 / 1

LCM(830,391) = 324530


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 378/830, 7186/391

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 378/830, 7186/391?

Answer: GCF of Numerators as per given numbers 378/830, 7186/391 is

GCF of Numerators i.e. for 378,7186 is 2

LCM of denominators i.e. for 830,391 is 324530.

Thus, GCF of Fractions is 2/324530.Finally, GCF of Fractions for 378/830, 7186/391 is 2/324530.