Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8056/96,3538/989
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 8056,3538
Greatest Common Factor of Numerators i.e. GCF of 8056,3538 is 2 .
LCM of Denominators means LCM of 96,989 as per the given fractions.
LCM of 96,989 is 94944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8056,3538
2 | 8056, 3538 |
4028, 1769 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8056
List of positive integer factors of 8056 that divides 8056 without a remainder.
1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Factors of 3538
List of positive integer factors of 3538 that divides 3538 without a remainder.
1,2,29,58,61,122,1769,3538
Greatest Common Factor
We found the factors 8056,3538 . The biggest common factor number is the GCF number.
So the greatest common factor 8056,3538 is 2.
Lets's calculate LCM of 96,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 94944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94944
Therefore, the GCF of Fractions 8056/96,3538/989 is 2/94944
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 96,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,989) x common factors =1 x 1 = 1
LCM(96,989) = ( 96 × 989 ) / 1
LCM(96,989) = 94944 / 1
LCM(96,989) = 94944
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 8056/96, 3538/989?
Answer: GCF of Numerators as per given numbers 8056/96, 3538/989 is
GCF of Numerators i.e. for 8056,3538 is 2
LCM of denominators i.e. for 96,989 is 94944.
Thus, GCF of Fractions is 2/94944.Finally, GCF of Fractions for 8056/96, 3538/989 is 2/94944.