Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/59,9560/387
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 130,9560
Greatest Common Factor of Numerators i.e. GCF of 130,9560 is 10 .
LCM of Denominators means LCM of 59,387 as per the given fractions.
LCM of 59,387 is 22833 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 130,9560
2 | 130, 9560 |
5 | 65, 4780 |
13, 956 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 9560
List of positive integer factors of 9560 that divides 9560 without a remainder.
1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560
Greatest Common Factor
We found the factors 130,9560 . The biggest common factor number is the GCF number.
So the greatest common factor 130,9560 is 10.
Lets's calculate LCM of 59,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 22833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/22833
Therefore, the GCF of Fractions 130/59,9560/387 is 10/22833
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 59,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,387) x common factors =1 x 1 = 1
LCM(59,387) = ( 59 × 387 ) / 1
LCM(59,387) = 22833 / 1
LCM(59,387) = 22833
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 130/59, 9560/387?
Answer: GCF of Numerators as per given numbers 130/59, 9560/387 is
GCF of Numerators i.e. for 130,9560 is 10
LCM of denominators i.e. for 59,387 is 22833.
Thus, GCF of Fractions is 10/22833.Finally, GCF of Fractions for 130/59, 9560/387 is 10/22833.