Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7988/84,1156/771
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 7988,1156
Greatest Common Factor of Numerators i.e. GCF of 7988,1156 is 4 .
LCM of Denominators means LCM of 84,771 as per the given fractions.
LCM of 84,771 is 21588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7988,1156
2 | 7988, 1156 |
2 | 3994, 578 |
1997, 289 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7988
List of positive integer factors of 7988 that divides 7988 without a remainder.
1,2,4,1997,3994,7988
Factors of 1156
List of positive integer factors of 1156 that divides 1156 without a remainder.
1,2,4,17,34,68,289,578,1156
Greatest Common Factor
We found the factors 7988,1156 . The biggest common factor number is the GCF number.
So the greatest common factor 7988,1156 is 4.
Lets's calculate LCM of 84,771
3 | 84, 771 |
28, 257 |
∴ So the LCM of the given numbers is 3 x 28 x 257 = 21588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21588
Therefore, the GCF of Fractions 7988/84,1156/771 is 4/21588
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 84,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,771) x common factors =3 x 1 = 3
LCM(84,771) = ( 84 × 771 ) / 3
LCM(84,771) = 64764 / 3
LCM(84,771) = 21588
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 7988/84, 1156/771?
Answer: GCF of Numerators as per given numbers 7988/84, 1156/771 is
GCF of Numerators i.e. for 7988,1156 is 4
LCM of denominators i.e. for 84,771 is 21588.
Thus, GCF of Fractions is 4/21588.Finally, GCF of Fractions for 7988/84, 1156/771 is 4/21588.