Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/82,393/89,425/294
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 981,393,425
Greatest Common Factor of Numerators i.e. GCF of 981,393,425 is 1 .
LCM of Denominators means LCM of 82,89,294 as per the given fractions.
LCM of 82,89,294 is 1072806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 981,393,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 981,393,425 . The biggest common factor number is the GCF number.
So the greatest common factor 981,393,425 is 1.
Lets's calculate LCM of 82,89,294
2 | 82, 89, 294 |
41, 89, 147 |
∴ So the LCM of the given numbers is 2 x 41 x 89 x 147 = 1072806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1072806
Therefore, the GCF of Fractions 981/82,393/89,425/294 is 1/1072806
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 82,89,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,89,294) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,89,294) x common factors =1 x 2 = 2
LCM(82,89,294) = ( 82 × 89 × 294 ) / 2
LCM(82,89,294) = 2145612 / 2
LCM(82,89,294) = 1072806
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 981/82, 393/89, 425/294?
Answer: GCF of Numerators as per given numbers 981/82, 393/89, 425/294 is
GCF of Numerators i.e. for 981,393,425 is 1
LCM of denominators i.e. for 82,89,294 is 1072806.
Thus, GCF of Fractions is 1/1072806.Finally, GCF of Fractions for 981/82, 393/89, 425/294 is 1/1072806.