Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7350/70,6135/192
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 7350,6135
Greatest Common Factor of Numerators i.e. GCF of 7350,6135 is 15 .
LCM of Denominators means LCM of 70,192 as per the given fractions.
LCM of 70,192 is 6720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7350,6135
3 | 7350, 6135 |
5 | 2450, 2045 |
490, 409 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 7350
List of positive integer factors of 7350 that divides 7350 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Factors of 6135
List of positive integer factors of 6135 that divides 6135 without a remainder.
1,3,5,15,409,1227,2045,6135
Greatest Common Factor
We found the factors 7350,6135 . The biggest common factor number is the GCF number.
So the greatest common factor 7350,6135 is 15.
Lets's calculate LCM of 70,192
2 | 70, 192 |
35, 96 |
∴ So the LCM of the given numbers is 2 x 35 x 96 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/6720
Therefore, the GCF of Fractions 7350/70,6135/192 is 15/6720
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 70,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,192) x common factors =2 x 1 = 2
LCM(70,192) = ( 70 × 192 ) / 2
LCM(70,192) = 13440 / 2
LCM(70,192) = 6720
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 7350/70, 6135/192?
Answer: GCF of Numerators as per given numbers 7350/70, 6135/192 is
GCF of Numerators i.e. for 7350,6135 is 15
LCM of denominators i.e. for 70,192 is 6720.
Thus, GCF of Fractions is 15/6720.Finally, GCF of Fractions for 7350/70, 6135/192 is 15/6720.