Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/31,212/37,947/538
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 250,212,947
Greatest Common Factor of Numerators i.e. GCF of 250,212,947 is 1 .
LCM of Denominators means LCM of 31,37,538 as per the given fractions.
LCM of 31,37,538 is 617086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,212,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 250,212,947 . The biggest common factor number is the GCF number.
So the greatest common factor 250,212,947 is 1.
Lets's calculate LCM of 31,37,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 617086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617086
Therefore, the GCF of Fractions 250/31,212/37,947/538 is 1/617086
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 31,37,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,37,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,37,538) x common factors =1 x 1 = 1
LCM(31,37,538) = ( 31 × 37 × 538 ) / 1
LCM(31,37,538) = 617086 / 1
LCM(31,37,538) = 617086
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 250/31, 212/37, 947/538?
Answer: GCF of Numerators as per given numbers 250/31, 212/37, 947/538 is
GCF of Numerators i.e. for 250,212,947 is 1
LCM of denominators i.e. for 31,37,538 is 617086.
Thus, GCF of Fractions is 1/617086.Finally, GCF of Fractions for 250/31, 212/37, 947/538 is 1/617086.