Greatest Common Factor of 504/483, 930/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/483, 930/224

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 504/483,930/224

Given fractions are 504/483,930/224

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 504,930

Greatest Common Factor of Numerators i.e. GCF of 504,930 is 6 .

LCM of Denominators means LCM of 483,224 as per the given fractions.

LCM of 483,224 is 15456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,930

GCF of Fractions 504/483,930/224 is 6/15456

2 504, 930
3 252, 465
84, 155

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

Greatest Common Factor of 504,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,930 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 504,930 . The biggest common factor number is the GCF number.
So the greatest common factor 504,930 is 6.

Lets's calculate LCM of 483,224

7 483, 224
69, 32

∴ So the LCM of the given numbers is 7 x 69 x 32 = 15456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/15456

Therefore, the GCF of Fractions 504/483,930/224 is 6/15456

Least Common Multiple of 483,224 with GCF Formula

Least Common Multiple of 483,224 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 483,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,224) = 7

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

GCF(483,224) x common factors =7 x 1 = 7

LCM(483,224) = ( 483 × 224 ) / 7

LCM(483,224) = 108192 / 7

LCM(483,224) = 15456


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 504/483, 930/224

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 504/483, 930/224?

Answer: GCF of Numerators as per given numbers 504/483, 930/224 is

GCF of Numerators i.e. for 504,930 is 6

LCM of denominators i.e. for 483,224 is 15456.

Thus, GCF of Fractions is 6/15456.Finally, GCF of Fractions for 504/483, 930/224 is 6/15456.