Greatest Common Factor of 504/83, 9984/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/83, 9984/749

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 504/83,9984/749

Given fractions are 504/83,9984/749

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 504,9984

Greatest Common Factor of Numerators i.e. GCF of 504,9984 is 24 .

LCM of Denominators means LCM of 83,749 as per the given fractions.

LCM of 83,749 is 62167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,9984

GCF of Fractions 504/83,9984/749 is 24/62167

2 504, 9984
2 252, 4992
2 126, 2496
3 63, 1248
21, 416

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 504,9984 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,9984 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 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Greatest Common Factor

We found the factors 504,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 504,9984 is 24.

Lets's calculate LCM of 83,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 62167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/62167

Therefore, the GCF of Fractions 504/83,9984/749 is 24/62167

Least Common Multiple of 83,749 with GCF Formula

Least Common Multiple of 83,749 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 83,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,749) = 1

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

GCF(83,749) x common factors =1 x 1 = 1

LCM(83,749) = ( 83 × 749 ) / 1

LCM(83,749) = 62167 / 1

LCM(83,749) = 62167


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 504/83, 9984/749

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 504/83, 9984/749?

Answer: GCF of Numerators as per given numbers 504/83, 9984/749 is

GCF of Numerators i.e. for 504,9984 is 24

LCM of denominators i.e. for 83,749 is 62167.

Thus, GCF of Fractions is 24/62167.Finally, GCF of Fractions for 504/83, 9984/749 is 24/62167.