Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/191,1888/9498
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 364,1888
Greatest Common Factor of Numerators i.e. GCF of 364,1888 is 4 .
LCM of Denominators means LCM of 191,9498 as per the given fractions.
LCM of 191,9498 is 1814118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 364,1888
2 | 364, 1888 |
2 | 182, 944 |
91, 472 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 1888
List of positive integer factors of 1888 that divides 1888 without a remainder.
1,2,4,8,16,32,59,118,236,472,944,1888
Greatest Common Factor
We found the factors 364,1888 . The biggest common factor number is the GCF number.
So the greatest common factor 364,1888 is 4.
Lets's calculate LCM of 191,9498
Given numbers has no common factors except 1. So, there LCM is their product i.e 1814118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1814118
Therefore, the GCF of Fractions 364/191,1888/9498 is 4/1814118
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 191,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,9498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,9498) x common factors =1 x 1 = 1
LCM(191,9498) = ( 191 × 9498 ) / 1
LCM(191,9498) = 1814118 / 1
LCM(191,9498) = 1814118
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 364/191, 1888/9498?
Answer: GCF of Numerators as per given numbers 364/191, 1888/9498 is
GCF of Numerators i.e. for 364,1888 is 4
LCM of denominators i.e. for 191,9498 is 1814118.
Thus, GCF of Fractions is 4/1814118.Finally, GCF of Fractions for 364/191, 1888/9498 is 4/1814118.