Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7090/31,6195/762
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 7090,6195
Greatest Common Factor of Numerators i.e. GCF of 7090,6195 is 5 .
LCM of Denominators means LCM of 31,762 as per the given fractions.
LCM of 31,762 is 23622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7090,6195
5 | 7090, 6195 |
1418, 1239 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7090
List of positive integer factors of 7090 that divides 7090 without a remainder.
1,2,5,10,709,1418,3545,7090
Factors of 6195
List of positive integer factors of 6195 that divides 6195 without a remainder.
1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Greatest Common Factor
We found the factors 7090,6195 . The biggest common factor number is the GCF number.
So the greatest common factor 7090,6195 is 5.
Lets's calculate LCM of 31,762
Given numbers has no common factors except 1. So, there LCM is their product i.e 23622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23622
Therefore, the GCF of Fractions 7090/31,6195/762 is 5/23622
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 31,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,762) x common factors =1 x 1 = 1
LCM(31,762) = ( 31 × 762 ) / 1
LCM(31,762) = 23622 / 1
LCM(31,762) = 23622
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 7090/31, 6195/762?
Answer: GCF of Numerators as per given numbers 7090/31, 6195/762 is
GCF of Numerators i.e. for 7090,6195 is 5
LCM of denominators i.e. for 31,762 is 23622.
Thus, GCF of Fractions is 5/23622.Finally, GCF of Fractions for 7090/31, 6195/762 is 5/23622.