Greatest Common Factor of 51/775, 60/714, 483/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/775, 60/714, 483/712

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 51/775,60/714,483/712

Given fractions are 51/775,60/714,483/712

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 51,60,483

Greatest Common Factor of Numerators i.e. GCF of 51,60,483 is 3 .

LCM of Denominators means LCM of 775,714,712 as per the given fractions.

LCM of 775,714,712 is 196992600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,60,483

GCF of Fractions 51/775,60/714,483/712 is 3/196992600

3 51, 60, 483
17, 20, 161

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 51,60,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,60,483 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 51,60,483 . The biggest common factor number is the GCF number.
So the greatest common factor 51,60,483 is 3.

Lets's calculate LCM of 775,714,712

2 775, 714, 712
775, 357, 356

∴ So the LCM of the given numbers is 2 x 775 x 357 x 356 = 196992600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/196992600

Therefore, the GCF of Fractions 51/775,60/714,483/712 is 3/196992600

Least Common Multiple of 775,714,712 with GCF Formula

Least Common Multiple of 775,714,712 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 775,714,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,714,712) = 1

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

GCF(775,714,712) x common factors =1 x 2 = 2

LCM(775,714,712) = ( 775 × 714 × 712 ) / 2

LCM(775,714,712) = 393985200 / 2

LCM(775,714,712) = 196992600


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 51/775, 60/714, 483/712

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 51/775, 60/714, 483/712?

Answer: GCF of Numerators as per given numbers 51/775, 60/714, 483/712 is

GCF of Numerators i.e. for 51,60,483 is 3

LCM of denominators i.e. for 775,714,712 is 196992600.

Thus, GCF of Fractions is 3/196992600.Finally, GCF of Fractions for 51/775, 60/714, 483/712 is 3/196992600.