Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8664/52,8032/195
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 8664,8032
Greatest Common Factor of Numerators i.e. GCF of 8664,8032 is 8 .
LCM of Denominators means LCM of 52,195 as per the given fractions.
LCM of 52,195 is 780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8664,8032
2 | 8664, 8032 |
2 | 4332, 4016 |
2 | 2166, 2008 |
1083, 1004 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 8664
List of positive integer factors of 8664 that divides 8664 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Factors of 8032
List of positive integer factors of 8032 that divides 8032 without a remainder.
1,2,4,8,16,32,251,502,1004,2008,4016,8032
Greatest Common Factor
We found the factors 8664,8032 . The biggest common factor number is the GCF number.
So the greatest common factor 8664,8032 is 8.
Lets's calculate LCM of 52,195
13 | 52, 195 |
4, 15 |
∴ So the LCM of the given numbers is 13 x 4 x 15 = 780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/780
Therefore, the GCF of Fractions 8664/52,8032/195 is 8/780
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 52,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,195) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(52,195) x common factors =13 x 1 = 13
LCM(52,195) = ( 52 × 195 ) / 13
LCM(52,195) = 10140 / 13
LCM(52,195) = 780
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 8664/52, 8032/195?
Answer: GCF of Numerators as per given numbers 8664/52, 8032/195 is
GCF of Numerators i.e. for 8664,8032 is 8
LCM of denominators i.e. for 52,195 is 780.
Thus, GCF of Fractions is 8/780.Finally, GCF of Fractions for 8664/52, 8032/195 is 8/780.