Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9972/16,7822/994
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 9972,7822
Greatest Common Factor of Numerators i.e. GCF of 9972,7822 is 2 .
LCM of Denominators means LCM of 16,994 as per the given fractions.
LCM of 16,994 is 7952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9972,7822
2 | 9972, 7822 |
4986, 3911 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9972
List of positive integer factors of 9972 that divides 9972 without a remainder.
1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Factors of 7822
List of positive integer factors of 7822 that divides 7822 without a remainder.
1,2,3911,7822
Greatest Common Factor
We found the factors 9972,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 9972,7822 is 2.
Lets's calculate LCM of 16,994
2 | 16, 994 |
8, 497 |
∴ So the LCM of the given numbers is 2 x 8 x 497 = 7952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7952
Therefore, the GCF of Fractions 9972/16,7822/994 is 2/7952
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 16,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,994) x common factors =2 x 1 = 2
LCM(16,994) = ( 16 × 994 ) / 2
LCM(16,994) = 15904 / 2
LCM(16,994) = 7952
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 9972/16, 7822/994?
Answer: GCF of Numerators as per given numbers 9972/16, 7822/994 is
GCF of Numerators i.e. for 9972,7822 is 2
LCM of denominators i.e. for 16,994 is 7952.
Thus, GCF of Fractions is 2/7952.Finally, GCF of Fractions for 9972/16, 7822/994 is 2/7952.