Greatest Common Factor of 630/55, 792/85, 120/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/55, 792/85, 120/387

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 630/55,792/85,120/387

Given fractions are 630/55,792/85,120/387

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 630,792,120

Greatest Common Factor of Numerators i.e. GCF of 630,792,120 is 6 .

LCM of Denominators means LCM of 55,85,387 as per the given fractions.

LCM of 55,85,387 is 361845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,792,120

GCF of Fractions 630/55,792/85,120/387 is 6/361845

2 630, 792, 120
3 315, 396, 60
105, 132, 20

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 630,792,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,792,120 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 630,792,120 . The biggest common factor number is the GCF number.
So the greatest common factor 630,792,120 is 6.

Lets's calculate LCM of 55,85,387

5 55, 85, 387
11, 17, 387

∴ So the LCM of the given numbers is 5 x 11 x 17 x 387 = 361845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/361845

Therefore, the GCF of Fractions 630/55,792/85,120/387 is 6/361845

Least Common Multiple of 55,85,387 with GCF Formula

Least Common Multiple of 55,85,387 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 55,85,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,85,387) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,85,387) x common factors =1 x 5 = 5

LCM(55,85,387) = ( 55 × 85 × 387 ) / 5

LCM(55,85,387) = 1809225 / 5

LCM(55,85,387) = 361845


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 630/55, 792/85, 120/387

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 630/55, 792/85, 120/387?

Answer: GCF of Numerators as per given numbers 630/55, 792/85, 120/387 is

GCF of Numerators i.e. for 630,792,120 is 6

LCM of denominators i.e. for 55,85,387 is 361845.

Thus, GCF of Fractions is 6/361845.Finally, GCF of Fractions for 630/55, 792/85, 120/387 is 6/361845.