Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7295/196,9777/366
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 7295,9777
Greatest Common Factor of Numerators i.e. GCF of 7295,9777 is 1 .
LCM of Denominators means LCM of 196,366 as per the given fractions.
LCM of 196,366 is 35868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7295,9777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7295
List of positive integer factors of 7295 that divides 7295 without a remainder.
1,5,1459,7295
Factors of 9777
List of positive integer factors of 9777 that divides 9777 without a remainder.
1,3,3259,9777
Greatest Common Factor
We found the factors 7295,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 7295,9777 is 1.
Lets's calculate LCM of 196,366
2 | 196, 366 |
98, 183 |
∴ So the LCM of the given numbers is 2 x 98 x 183 = 35868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35868
Therefore, the GCF of Fractions 7295/196,9777/366 is 1/35868
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 196,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,366) x common factors =2 x 1 = 2
LCM(196,366) = ( 196 × 366 ) / 2
LCM(196,366) = 71736 / 2
LCM(196,366) = 35868
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 7295/196, 9777/366?
Answer: GCF of Numerators as per given numbers 7295/196, 9777/366 is
GCF of Numerators i.e. for 7295,9777 is 1
LCM of denominators i.e. for 196,366 is 35868.
Thus, GCF of Fractions is 1/35868.Finally, GCF of Fractions for 7295/196, 9777/366 is 1/35868.