Greatest Common Factor of 830/476, 2110/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/476, 2110/642

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 830/476,2110/642

Given fractions are 830/476,2110/642

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 830,2110

Greatest Common Factor of Numerators i.e. GCF of 830,2110 is 10 .

LCM of Denominators means LCM of 476,642 as per the given fractions.

LCM of 476,642 is 152796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,2110

GCF of Fractions 830/476,2110/642 is 10/152796

2 830, 2110
5 415, 1055
83, 211

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

Greatest Common Factor of 830,2110 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,2110 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 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 830,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 830,2110 is 10.

Lets's calculate LCM of 476,642

2 476, 642
238, 321

∴ So the LCM of the given numbers is 2 x 238 x 321 = 152796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/152796

Therefore, the GCF of Fractions 830/476,2110/642 is 10/152796

Least Common Multiple of 476,642 with GCF Formula

Least Common Multiple of 476,642 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 476,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,642) = 2

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

GCF(476,642) x common factors =2 x 1 = 2

LCM(476,642) = ( 476 × 642 ) / 2

LCM(476,642) = 305592 / 2

LCM(476,642) = 152796


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 830/476, 2110/642

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 830/476, 2110/642?

Answer: GCF of Numerators as per given numbers 830/476, 2110/642 is

GCF of Numerators i.e. for 830,2110 is 10

LCM of denominators i.e. for 476,642 is 152796.

Thus, GCF of Fractions is 10/152796.Finally, GCF of Fractions for 830/476, 2110/642 is 10/152796.