Greatest Common Factor of 618/78, 480/29, 312/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/78, 480/29, 312/647

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 618/78,480/29,312/647

Given fractions are 618/78,480/29,312/647

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 618,480,312

Greatest Common Factor of Numerators i.e. GCF of 618,480,312 is 6 .

LCM of Denominators means LCM of 78,29,647 as per the given fractions.

LCM of 78,29,647 is 1463514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,480,312

GCF of Fractions 618/78,480/29,312/647 is 6/1463514

2 618, 480, 312
3 309, 240, 156
103, 80, 52

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

Greatest Common Factor of 618,480,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,480,312 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 618,480,312 . The biggest common factor number is the GCF number.
So the greatest common factor 618,480,312 is 6.

Lets's calculate LCM of 78,29,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 1463514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1463514

Therefore, the GCF of Fractions 618/78,480/29,312/647 is 6/1463514

Least Common Multiple of 78,29,647 with GCF Formula

Least Common Multiple of 78,29,647 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 78,29,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,29,647) = 1

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

GCF(78,29,647) x common factors =1 x 1 = 1

LCM(78,29,647) = ( 78 × 29 × 647 ) / 1

LCM(78,29,647) = 1463514 / 1

LCM(78,29,647) = 1463514


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 618/78, 480/29, 312/647

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 618/78, 480/29, 312/647?

Answer: GCF of Numerators as per given numbers 618/78, 480/29, 312/647 is

GCF of Numerators i.e. for 618,480,312 is 6

LCM of denominators i.e. for 78,29,647 is 1463514.

Thus, GCF of Fractions is 6/1463514.Finally, GCF of Fractions for 618/78, 480/29, 312/647 is 6/1463514.