Greatest Common Factor of 505/54, 1440/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 505/54, 1440/678

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 505/54,1440/678

Given fractions are 505/54,1440/678

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 505,1440

Greatest Common Factor of Numerators i.e. GCF of 505,1440 is 5 .

LCM of Denominators means LCM of 54,678 as per the given fractions.

LCM of 54,678 is 6102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 505,1440

GCF of Fractions 505/54,1440/678 is 5/6102

5 505, 1440
101, 288

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 505,1440 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,1440 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440

Greatest Common Factor

We found the factors 505,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 505,1440 is 5.

Lets's calculate LCM of 54,678

2 54, 678
3 27, 339
9, 113

∴ So the LCM of the given numbers is 2 x 3 x 9 x 113 = 6102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6102

Therefore, the GCF of Fractions 505/54,1440/678 is 5/6102

Least Common Multiple of 54,678 with GCF Formula

Least Common Multiple of 54,678 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 54,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,678) = 6

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

GCF(54,678) x common factors =6 x 1 = 6

LCM(54,678) = ( 54 × 678 ) / 6

LCM(54,678) = 36612 / 6

LCM(54,678) = 6102


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 505/54, 1440/678

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 505/54, 1440/678?

Answer: GCF of Numerators as per given numbers 505/54, 1440/678 is

GCF of Numerators i.e. for 505,1440 is 5

LCM of denominators i.e. for 54,678 is 6102.

Thus, GCF of Fractions is 5/6102.Finally, GCF of Fractions for 505/54, 1440/678 is 5/6102.