Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/11,345/47,815/507
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 152,345,815
Greatest Common Factor of Numerators i.e. GCF of 152,345,815 is 1 .
LCM of Denominators means LCM of 11,47,507 as per the given fractions.
LCM of 11,47,507 is 262119 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 152,345,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 152,345,815 . The biggest common factor number is the GCF number.
So the greatest common factor 152,345,815 is 1.
Lets's calculate LCM of 11,47,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 262119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262119
Therefore, the GCF of Fractions 152/11,345/47,815/507 is 1/262119
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 11,47,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,47,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,47,507) x common factors =1 x 1 = 1
LCM(11,47,507) = ( 11 × 47 × 507 ) / 1
LCM(11,47,507) = 262119 / 1
LCM(11,47,507) = 262119
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 152/11, 345/47, 815/507?
Answer: GCF of Numerators as per given numbers 152/11, 345/47, 815/507 is
GCF of Numerators i.e. for 152,345,815 is 1
LCM of denominators i.e. for 11,47,507 is 262119.
Thus, GCF of Fractions is 1/262119.Finally, GCF of Fractions for 152/11, 345/47, 815/507 is 1/262119.