Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/83,138/95,365/570
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 422,138,365
Greatest Common Factor of Numerators i.e. GCF of 422,138,365 is 1 .
LCM of Denominators means LCM of 83,95,570 as per the given fractions.
LCM of 83,95,570 is 47310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 422,138,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 422,138,365 . The biggest common factor number is the GCF number.
So the greatest common factor 422,138,365 is 1.
Lets's calculate LCM of 83,95,570
5 | 83, 95, 570 |
19 | 83, 19, 114 |
83, 1, 6 |
∴ So the LCM of the given numbers is 5 x 19 x 83 x 1 x 6 = 47310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47310
Therefore, the GCF of Fractions 422/83,138/95,365/570 is 1/47310
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 83,95,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,95,570) = 1
common factors(in case of two or more numbers have common factors) = 95
GCF(83,95,570) x common factors =1 x 95 = 95
LCM(83,95,570) = ( 83 × 95 × 570 ) / 95
LCM(83,95,570) = 4494450 / 95
LCM(83,95,570) = 47310
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 422/83, 138/95, 365/570?
Answer: GCF of Numerators as per given numbers 422/83, 138/95, 365/570 is
GCF of Numerators i.e. for 422,138,365 is 1
LCM of denominators i.e. for 83,95,570 is 47310.
Thus, GCF of Fractions is 1/47310.Finally, GCF of Fractions for 422/83, 138/95, 365/570 is 1/47310.