Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1506/59,1898/159
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 1506,1898
Greatest Common Factor of Numerators i.e. GCF of 1506,1898 is 2 .
LCM of Denominators means LCM of 59,159 as per the given fractions.
LCM of 59,159 is 9381 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1506,1898
2 | 1506, 1898 |
753, 949 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1506
List of positive integer factors of 1506 that divides 1506 without a remainder.
1,2,3,6,251,502,753,1506
Factors of 1898
List of positive integer factors of 1898 that divides 1898 without a remainder.
1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 1506,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 1506,1898 is 2.
Lets's calculate LCM of 59,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 9381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9381
Therefore, the GCF of Fractions 1506/59,1898/159 is 2/9381
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 59,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,159) x common factors =1 x 1 = 1
LCM(59,159) = ( 59 × 159 ) / 1
LCM(59,159) = 9381 / 1
LCM(59,159) = 9381
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 1506/59, 1898/159?
Answer: GCF of Numerators as per given numbers 1506/59, 1898/159 is
GCF of Numerators i.e. for 1506,1898 is 2
LCM of denominators i.e. for 59,159 is 9381.
Thus, GCF of Fractions is 2/9381.Finally, GCF of Fractions for 1506/59, 1898/159 is 2/9381.