Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/593,532/808,485/991
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 182,532,485
Greatest Common Factor of Numerators i.e. GCF of 182,532,485 is 1 .
LCM of Denominators means LCM of 593,808,991 as per the given fractions.
LCM of 593,808,991 is 474831704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,532,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 182,532,485 . The biggest common factor number is the GCF number.
So the greatest common factor 182,532,485 is 1.
Lets's calculate LCM of 593,808,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 474831704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474831704
Therefore, the GCF of Fractions 182/593,532/808,485/991 is 1/474831704
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 593,808,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,808,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,808,991) x common factors =1 x 1 = 1
LCM(593,808,991) = ( 593 × 808 × 991 ) / 1
LCM(593,808,991) = 474831704 / 1
LCM(593,808,991) = 474831704
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 182/593, 532/808, 485/991?
Answer: GCF of Numerators as per given numbers 182/593, 532/808, 485/991 is
GCF of Numerators i.e. for 182,532,485 is 1
LCM of denominators i.e. for 593,808,991 is 474831704.
Thus, GCF of Fractions is 1/474831704.Finally, GCF of Fractions for 182/593, 532/808, 485/991 is 1/474831704.