Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/37,719/524
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 151,719
Greatest Common Factor of Numerators i.e. GCF of 151,719 is 1 .
LCM of Denominators means LCM of 37,524 as per the given fractions.
LCM of 37,524 is 19388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 151,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 151,719 . The biggest common factor number is the GCF number.
So the greatest common factor 151,719 is 1.
Lets's calculate LCM of 37,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 19388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19388
Therefore, the GCF of Fractions 151/37,719/524 is 1/19388
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 37,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,524) x common factors =1 x 1 = 1
LCM(37,524) = ( 37 × 524 ) / 1
LCM(37,524) = 19388 / 1
LCM(37,524) = 19388
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 151/37, 719/524?
Answer: GCF of Numerators as per given numbers 151/37, 719/524 is
GCF of Numerators i.e. for 151,719 is 1
LCM of denominators i.e. for 37,524 is 19388.
Thus, GCF of Fractions is 1/19388.Finally, GCF of Fractions for 151/37, 719/524 is 1/19388.