Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 432/922,1310/815
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 432,1310
Greatest Common Factor of Numerators i.e. GCF of 432,1310 is 2 .
LCM of Denominators means LCM of 922,815 as per the given fractions.
LCM of 922,815 is 751430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 432,1310
2 | 432, 1310 |
216, 655 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 1310
List of positive integer factors of 1310 that divides 1310 without a remainder.
1,2,5,10,131,262,655,1310
Greatest Common Factor
We found the factors 432,1310 . The biggest common factor number is the GCF number.
So the greatest common factor 432,1310 is 2.
Lets's calculate LCM of 922,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 751430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/751430
Therefore, the GCF of Fractions 432/922,1310/815 is 2/751430
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 922,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,815) x common factors =1 x 1 = 1
LCM(922,815) = ( 922 × 815 ) / 1
LCM(922,815) = 751430 / 1
LCM(922,815) = 751430
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 432/922, 1310/815?
Answer: GCF of Numerators as per given numbers 432/922, 1310/815 is
GCF of Numerators i.e. for 432,1310 is 2
LCM of denominators i.e. for 922,815 is 751430.
Thus, GCF of Fractions is 2/751430.Finally, GCF of Fractions for 432/922, 1310/815 is 2/751430.