Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/277,504/514
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 72,504
Greatest Common Factor of Numerators i.e. GCF of 72,504 is 72 .
LCM of Denominators means LCM of 277,514 as per the given fractions.
LCM of 277,514 is 142378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,504
2 | 72, 504 |
2 | 36, 252 |
2 | 18, 126 |
3 | 9, 63 |
3 | 3, 21 |
1, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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
Greatest Common Factor
We found the factors 72,504 . The biggest common factor number is the GCF number.
So the greatest common factor 72,504 is 72.
Lets's calculate LCM of 277,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 142378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/142378
Therefore, the GCF of Fractions 72/277,504/514 is 72/142378
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 277,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,514) x common factors =1 x 1 = 1
LCM(277,514) = ( 277 × 514 ) / 1
LCM(277,514) = 142378 / 1
LCM(277,514) = 142378
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 72/277, 504/514?
Answer: GCF of Numerators as per given numbers 72/277, 504/514 is
GCF of Numerators i.e. for 72,504 is 72
LCM of denominators i.e. for 277,514 is 142378.
Thus, GCF of Fractions is 72/142378.Finally, GCF of Fractions for 72/277, 504/514 is 72/142378.