Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1184/552,3770/783
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 1184,3770
Greatest Common Factor of Numerators i.e. GCF of 1184,3770 is 2 .
LCM of Denominators means LCM of 552,783 as per the given fractions.
LCM of 552,783 is 144072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1184,3770
2 | 1184, 3770 |
592, 1885 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1184
List of positive integer factors of 1184 that divides 1184 without a remainder.
1,2,4,8,16,32,37,74,148,296,592,1184
Factors of 3770
List of positive integer factors of 3770 that divides 3770 without a remainder.
1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770
Greatest Common Factor
We found the factors 1184,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 1184,3770 is 2.
Lets's calculate LCM of 552,783
3 | 552, 783 |
184, 261 |
∴ So the LCM of the given numbers is 3 x 184 x 261 = 144072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144072
Therefore, the GCF of Fractions 1184/552,3770/783 is 2/144072
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 552,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,783) x common factors =3 x 1 = 3
LCM(552,783) = ( 552 × 783 ) / 3
LCM(552,783) = 432216 / 3
LCM(552,783) = 144072
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 1184/552, 3770/783?
Answer: GCF of Numerators as per given numbers 1184/552, 3770/783 is
GCF of Numerators i.e. for 1184,3770 is 2
LCM of denominators i.e. for 552,783 is 144072.
Thus, GCF of Fractions is 2/144072.Finally, GCF of Fractions for 1184/552, 3770/783 is 2/144072.