Greatest Common Factor of 811/29, 765/10, 651/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/29, 765/10, 651/146

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 811/29,765/10,651/146

Given fractions are 811/29,765/10,651/146

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 811,765,651

Greatest Common Factor of Numerators i.e. GCF of 811,765,651 is 1 .

LCM of Denominators means LCM of 29,10,146 as per the given fractions.

LCM of 29,10,146 is 21170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,765,651

GCF of Fractions 811/29,765/10,651/146 is 1/21170

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

Greatest Common Factor of 811,765,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,765,651 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 811,765,651 . The biggest common factor number is the GCF number.
So the greatest common factor 811,765,651 is 1.

Lets's calculate LCM of 29,10,146

2 29, 10, 146
29, 5, 73

∴ So the LCM of the given numbers is 2 x 29 x 5 x 73 = 21170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21170

Therefore, the GCF of Fractions 811/29,765/10,651/146 is 1/21170

Least Common Multiple of 29,10,146 with GCF Formula

Least Common Multiple of 29,10,146 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 29,10,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,10,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,10,146) x common factors =1 x 2 = 2

LCM(29,10,146) = ( 29 × 10 × 146 ) / 2

LCM(29,10,146) = 42340 / 2

LCM(29,10,146) = 21170


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 811/29, 765/10, 651/146

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 811/29, 765/10, 651/146?

Answer: GCF of Numerators as per given numbers 811/29, 765/10, 651/146 is

GCF of Numerators i.e. for 811,765,651 is 1

LCM of denominators i.e. for 29,10,146 is 21170.

Thus, GCF of Fractions is 1/21170.Finally, GCF of Fractions for 811/29, 765/10, 651/146 is 1/21170.