Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 929/718,4425/522
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 929,4425
Greatest Common Factor of Numerators i.e. GCF of 929,4425 is 1 .
LCM of Denominators means LCM of 718,522 as per the given fractions.
LCM of 718,522 is 187398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 929,4425
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 4425
List of positive integer factors of 4425 that divides 4425 without a remainder.
1,3,5,15,25,59,75,177,295,885,1475,4425
Greatest Common Factor
We found the factors 929,4425 . The biggest common factor number is the GCF number.
So the greatest common factor 929,4425 is 1.
Lets's calculate LCM of 718,522
2 | 718, 522 |
359, 261 |
∴ So the LCM of the given numbers is 2 x 359 x 261 = 187398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187398
Therefore, the GCF of Fractions 929/718,4425/522 is 1/187398
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 718,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(718,522) x common factors =2 x 1 = 2
LCM(718,522) = ( 718 × 522 ) / 2
LCM(718,522) = 374796 / 2
LCM(718,522) = 187398
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 929/718, 4425/522?
Answer: GCF of Numerators as per given numbers 929/718, 4425/522 is
GCF of Numerators i.e. for 929,4425 is 1
LCM of denominators i.e. for 718,522 is 187398.
Thus, GCF of Fractions is 1/187398.Finally, GCF of Fractions for 929/718, 4425/522 is 1/187398.