Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/169,302/728
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 234,302
Greatest Common Factor of Numerators i.e. GCF of 234,302 is 2 .
LCM of Denominators means LCM of 169,728 as per the given fractions.
LCM of 169,728 is 9464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,302
2 | 234, 302 |
117, 151 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 234,302 . The biggest common factor number is the GCF number.
So the greatest common factor 234,302 is 2.
Lets's calculate LCM of 169,728
13 | 169, 728 |
13, 56 |
∴ So the LCM of the given numbers is 13 x 13 x 56 = 9464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9464
Therefore, the GCF of Fractions 234/169,302/728 is 2/9464
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 169,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,728) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(169,728) x common factors =13 x 1 = 13
LCM(169,728) = ( 169 × 728 ) / 13
LCM(169,728) = 123032 / 13
LCM(169,728) = 9464
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 234/169, 302/728?
Answer: GCF of Numerators as per given numbers 234/169, 302/728 is
GCF of Numerators i.e. for 234,302 is 2
LCM of denominators i.e. for 169,728 is 9464.
Thus, GCF of Fractions is 2/9464.Finally, GCF of Fractions for 234/169, 302/728 is 2/9464.