Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8295/94,6593/978
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 8295,6593
Greatest Common Factor of Numerators i.e. GCF of 8295,6593 is 1 .
LCM of Denominators means LCM of 94,978 as per the given fractions.
LCM of 94,978 is 45966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8295,6593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8295
List of positive integer factors of 8295 that divides 8295 without a remainder.
1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295
Factors of 6593
List of positive integer factors of 6593 that divides 6593 without a remainder.
1,19,347,6593
Greatest Common Factor
We found the factors 8295,6593 . The biggest common factor number is the GCF number.
So the greatest common factor 8295,6593 is 1.
Lets's calculate LCM of 94,978
2 | 94, 978 |
47, 489 |
∴ So the LCM of the given numbers is 2 x 47 x 489 = 45966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45966
Therefore, the GCF of Fractions 8295/94,6593/978 is 1/45966
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 94,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,978) x common factors =2 x 1 = 2
LCM(94,978) = ( 94 × 978 ) / 2
LCM(94,978) = 91932 / 2
LCM(94,978) = 45966
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 8295/94, 6593/978?
Answer: GCF of Numerators as per given numbers 8295/94, 6593/978 is
GCF of Numerators i.e. for 8295,6593 is 1
LCM of denominators i.e. for 94,978 is 45966.
Thus, GCF of Fractions is 1/45966.Finally, GCF of Fractions for 8295/94, 6593/978 is 1/45966.