Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 192/601,7310/980
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 192,7310
Greatest Common Factor of Numerators i.e. GCF of 192,7310 is 2 .
LCM of Denominators means LCM of 601,980 as per the given fractions.
LCM of 601,980 is 588980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 192,7310
2 | 192, 7310 |
96, 3655 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 7310
List of positive integer factors of 7310 that divides 7310 without a remainder.
1,2,5,10,17,34,43,85,86,170,215,430,731,1462,3655,7310
Greatest Common Factor
We found the factors 192,7310 . The biggest common factor number is the GCF number.
So the greatest common factor 192,7310 is 2.
Lets's calculate LCM of 601,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 588980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/588980
Therefore, the GCF of Fractions 192/601,7310/980 is 2/588980
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 601,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,980) x common factors =1 x 1 = 1
LCM(601,980) = ( 601 × 980 ) / 1
LCM(601,980) = 588980 / 1
LCM(601,980) = 588980
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 192/601, 7310/980?
Answer: GCF of Numerators as per given numbers 192/601, 7310/980 is
GCF of Numerators i.e. for 192,7310 is 2
LCM of denominators i.e. for 601,980 is 588980.
Thus, GCF of Fractions is 2/588980.Finally, GCF of Fractions for 192/601, 7310/980 is 2/588980.