Greatest Common Factor of 387/830, 7109/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 387/830, 7109/740

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 387/830,7109/740

Given fractions are 387/830,7109/740

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 387,7109

Greatest Common Factor of Numerators i.e. GCF of 387,7109 is 1 .

LCM of Denominators means LCM of 830,740 as per the given fractions.

LCM of 830,740 is 61420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 387,7109

GCF of Fractions 387/830,7109/740 is 1/61420

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

Greatest Common Factor of 387,7109 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,7109 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 7109

List of positive integer factors of 7109 that divides 7109 without a remainder.

1,7109

Greatest Common Factor

We found the factors 387,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 387,7109 is 1.

Lets's calculate LCM of 830,740

2 830, 740
5 415, 370
83, 74

∴ So the LCM of the given numbers is 2 x 5 x 83 x 74 = 61420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61420

Therefore, the GCF of Fractions 387/830,7109/740 is 1/61420

Least Common Multiple of 830,740 with GCF Formula

Least Common Multiple of 830,740 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 830,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,740) = 10

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

GCF(830,740) x common factors =10 x 1 = 10

LCM(830,740) = ( 830 × 740 ) / 10

LCM(830,740) = 614200 / 10

LCM(830,740) = 61420


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 387/830, 7109/740

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 387/830, 7109/740?

Answer: GCF of Numerators as per given numbers 387/830, 7109/740 is

GCF of Numerators i.e. for 387,7109 is 1

LCM of denominators i.e. for 830,740 is 61420.

Thus, GCF of Fractions is 1/61420.Finally, GCF of Fractions for 387/830, 7109/740 is 1/61420.