Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9946/990,3964/778
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 9946,3964
Greatest Common Factor of Numerators i.e. GCF of 9946,3964 is 2 .
LCM of Denominators means LCM of 990,778 as per the given fractions.
LCM of 990,778 is 385110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9946,3964
2 | 9946, 3964 |
4973, 1982 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9946
List of positive integer factors of 9946 that divides 9946 without a remainder.
1,2,4973,9946
Factors of 3964
List of positive integer factors of 3964 that divides 3964 without a remainder.
1,2,4,991,1982,3964
Greatest Common Factor
We found the factors 9946,3964 . The biggest common factor number is the GCF number.
So the greatest common factor 9946,3964 is 2.
Lets's calculate LCM of 990,778
2 | 990, 778 |
495, 389 |
∴ So the LCM of the given numbers is 2 x 495 x 389 = 385110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/385110
Therefore, the GCF of Fractions 9946/990,3964/778 is 2/385110
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 990,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(990,778) x common factors =2 x 1 = 2
LCM(990,778) = ( 990 × 778 ) / 2
LCM(990,778) = 770220 / 2
LCM(990,778) = 385110
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 9946/990, 3964/778?
Answer: GCF of Numerators as per given numbers 9946/990, 3964/778 is
GCF of Numerators i.e. for 9946,3964 is 2
LCM of denominators i.e. for 990,778 is 385110.
Thus, GCF of Fractions is 2/385110.Finally, GCF of Fractions for 9946/990, 3964/778 is 2/385110.