Greatest Common Factor of 6230/485, 7830/6910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6230/485, 7830/6910

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 6230/485,7830/6910

Given fractions are 6230/485,7830/6910

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 6230,7830

Greatest Common Factor of Numerators i.e. GCF of 6230,7830 is 10 .

LCM of Denominators means LCM of 485,6910 as per the given fractions.

LCM of 485,6910 is 670270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6230,7830

GCF of Fractions 6230/485,7830/6910 is 10/670270

2 6230, 7830
5 3115, 3915
623, 783

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6230,7830 By Matching Biggest Common Factor Method

Greatest Common Factor of 6230,7830 By Matching Biggest Common Factor Method

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830

Greatest Common Factor

We found the factors 6230,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 6230,7830 is 10.

Lets's calculate LCM of 485,6910

5 485, 6910
97, 1382

∴ So the LCM of the given numbers is 5 x 97 x 1382 = 670270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/670270

Therefore, the GCF of Fractions 6230/485,7830/6910 is 10/670270

Least Common Multiple of 485,6910 with GCF Formula

Least Common Multiple of 485,6910 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 485,6910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,6910) = 5

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

GCF(485,6910) x common factors =5 x 1 = 5

LCM(485,6910) = ( 485 × 6910 ) / 5

LCM(485,6910) = 3351350 / 5

LCM(485,6910) = 670270


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 6230/485, 7830/6910

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 6230/485, 7830/6910?

Answer: GCF of Numerators as per given numbers 6230/485, 7830/6910 is

GCF of Numerators i.e. for 6230,7830 is 10

LCM of denominators i.e. for 485,6910 is 670270.

Thus, GCF of Fractions is 10/670270.Finally, GCF of Fractions for 6230/485, 7830/6910 is 10/670270.