Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/407,79/894,719/207
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 93,79,719
Greatest Common Factor of Numerators i.e. GCF of 93,79,719 is 1 .
LCM of Denominators means LCM of 407,894,207 as per the given fractions.
LCM of 407,894,207 is 25106202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,79,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 93,79,719 . The biggest common factor number is the GCF number.
So the greatest common factor 93,79,719 is 1.
Lets's calculate LCM of 407,894,207
3 | 407, 894, 207 |
407, 298, 69 |
∴ So the LCM of the given numbers is 3 x 407 x 298 x 69 = 25106202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25106202
Therefore, the GCF of Fractions 93/407,79/894,719/207 is 1/25106202
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 407,894,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,894,207) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(407,894,207) x common factors =1 x 3 = 3
LCM(407,894,207) = ( 407 × 894 × 207 ) / 3
LCM(407,894,207) = 75318606 / 3
LCM(407,894,207) = 25106202
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 93/407, 79/894, 719/207?
Answer: GCF of Numerators as per given numbers 93/407, 79/894, 719/207 is
GCF of Numerators i.e. for 93,79,719 is 1
LCM of denominators i.e. for 407,894,207 is 25106202.
Thus, GCF of Fractions is 1/25106202.Finally, GCF of Fractions for 93/407, 79/894, 719/207 is 1/25106202.