Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/603,241/145,500/428
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 157,241,500
Greatest Common Factor of Numerators i.e. GCF of 157,241,500 is 1 .
LCM of Denominators means LCM of 603,145,428 as per the given fractions.
LCM of 603,145,428 is 37422180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 157,241,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 157,241,500 . The biggest common factor number is the GCF number.
So the greatest common factor 157,241,500 is 1.
Lets's calculate LCM of 603,145,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 37422180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37422180
Therefore, the GCF of Fractions 157/603,241/145,500/428 is 1/37422180
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 603,145,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,145,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,145,428) x common factors =1 x 1 = 1
LCM(603,145,428) = ( 603 × 145 × 428 ) / 1
LCM(603,145,428) = 37422180 / 1
LCM(603,145,428) = 37422180
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 157/603, 241/145, 500/428?
Answer: GCF of Numerators as per given numbers 157/603, 241/145, 500/428 is
GCF of Numerators i.e. for 157,241,500 is 1
LCM of denominators i.e. for 603,145,428 is 37422180.
Thus, GCF of Fractions is 1/37422180.Finally, GCF of Fractions for 157/603, 241/145, 500/428 is 1/37422180.