Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/410,222/241,695/183
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 92,222,695
Greatest Common Factor of Numerators i.e. GCF of 92,222,695 is 1 .
LCM of Denominators means LCM of 410,241,183 as per the given fractions.
LCM of 410,241,183 is 18082230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,222,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 92,222,695 . The biggest common factor number is the GCF number.
So the greatest common factor 92,222,695 is 1.
Lets's calculate LCM of 410,241,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 18082230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18082230
Therefore, the GCF of Fractions 92/410,222/241,695/183 is 1/18082230
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 410,241,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,241,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,241,183) x common factors =1 x 1 = 1
LCM(410,241,183) = ( 410 × 241 × 183 ) / 1
LCM(410,241,183) = 18082230 / 1
LCM(410,241,183) = 18082230
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 92/410, 222/241, 695/183?
Answer: GCF of Numerators as per given numbers 92/410, 222/241, 695/183 is
GCF of Numerators i.e. for 92,222,695 is 1
LCM of denominators i.e. for 410,241,183 is 18082230.
Thus, GCF of Fractions is 1/18082230.Finally, GCF of Fractions for 92/410, 222/241, 695/183 is 1/18082230.