Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4090/186,9222/315
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 4090,9222
Greatest Common Factor of Numerators i.e. GCF of 4090,9222 is 2 .
LCM of Denominators means LCM of 186,315 as per the given fractions.
LCM of 186,315 is 19530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4090,9222
2 | 4090, 9222 |
2045, 4611 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4090
List of positive integer factors of 4090 that divides 4090 without a remainder.
1,2,5,10,409,818,2045,4090
Factors of 9222
List of positive integer factors of 9222 that divides 9222 without a remainder.
1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Greatest Common Factor
We found the factors 4090,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 4090,9222 is 2.
Lets's calculate LCM of 186,315
3 | 186, 315 |
62, 105 |
∴ So the LCM of the given numbers is 3 x 62 x 105 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19530
Therefore, the GCF of Fractions 4090/186,9222/315 is 2/19530
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 186,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,315) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(186,315) x common factors =3 x 1 = 3
LCM(186,315) = ( 186 × 315 ) / 3
LCM(186,315) = 58590 / 3
LCM(186,315) = 19530
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 4090/186, 9222/315?
Answer: GCF of Numerators as per given numbers 4090/186, 9222/315 is
GCF of Numerators i.e. for 4090,9222 is 2
LCM of denominators i.e. for 186,315 is 19530.
Thus, GCF of Fractions is 2/19530.Finally, GCF of Fractions for 4090/186, 9222/315 is 2/19530.