Greatest Common Factor of 830/486, 1387/4279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/486, 1387/4279

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 830/486,1387/4279

Given fractions are 830/486,1387/4279

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 830,1387

Greatest Common Factor of Numerators i.e. GCF of 830,1387 is 1 .

LCM of Denominators means LCM of 486,4279 as per the given fractions.

LCM of 486,4279 is 2079594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,1387

GCF of Fractions 830/486,1387/4279 is 1/2079594

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 830,1387 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,1387 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 1387

List of positive integer factors of 1387 that divides 1387 without a remainder.

1,19,73,1387

Greatest Common Factor

We found the factors 830,1387 . The biggest common factor number is the GCF number.
So the greatest common factor 830,1387 is 1.

Lets's calculate LCM of 486,4279

Given numbers has no common factors except 1. So, there LCM is their product i.e 2079594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2079594

Therefore, the GCF of Fractions 830/486,1387/4279 is 1/2079594

Least Common Multiple of 486,4279 with GCF Formula

Least Common Multiple of 486,4279 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 486,4279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,4279) = 1

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

GCF(486,4279) x common factors =1 x 1 = 1

LCM(486,4279) = ( 486 × 4279 ) / 1

LCM(486,4279) = 2079594 / 1

LCM(486,4279) = 2079594


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 830/486, 1387/4279

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 830/486, 1387/4279?

Answer: GCF of Numerators as per given numbers 830/486, 1387/4279 is

GCF of Numerators i.e. for 830,1387 is 1

LCM of denominators i.e. for 486,4279 is 2079594.

Thus, GCF of Fractions is 1/2079594.Finally, GCF of Fractions for 830/486, 1387/4279 is 1/2079594.