Greatest Common Factor of 506/909, 7920/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/909, 7920/144

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 506/909,7920/144

Given fractions are 506/909,7920/144

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 506,7920

Greatest Common Factor of Numerators i.e. GCF of 506,7920 is 22 .

LCM of Denominators means LCM of 909,144 as per the given fractions.

LCM of 909,144 is 14544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,7920

GCF of Fractions 506/909,7920/144 is 22/14544

2 506, 7920
11 253, 3960
23, 360

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 506,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,7920 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 506,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 506,7920 is 22.

Lets's calculate LCM of 909,144

3 909, 144
3 303, 48
101, 16

∴ So the LCM of the given numbers is 3 x 3 x 101 x 16 = 14544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/14544

Therefore, the GCF of Fractions 506/909,7920/144 is 22/14544

Least Common Multiple of 909,144 with GCF Formula

Least Common Multiple of 909,144 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 909,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,144) = 9

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

GCF(909,144) x common factors =9 x 1 = 9

LCM(909,144) = ( 909 × 144 ) / 9

LCM(909,144) = 130896 / 9

LCM(909,144) = 14544


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 506/909, 7920/144

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 506/909, 7920/144?

Answer: GCF of Numerators as per given numbers 506/909, 7920/144 is

GCF of Numerators i.e. for 506,7920 is 22

LCM of denominators i.e. for 909,144 is 14544.

Thus, GCF of Fractions is 22/14544.Finally, GCF of Fractions for 506/909, 7920/144 is 22/14544.