Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/38,790/509
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 152,790
Greatest Common Factor of Numerators i.e. GCF of 152,790 is 2 .
LCM of Denominators means LCM of 38,509 as per the given fractions.
LCM of 38,509 is 19342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 152,790
2 | 152, 790 |
76, 395 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 152,790 . The biggest common factor number is the GCF number.
So the greatest common factor 152,790 is 2.
Lets's calculate LCM of 38,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 19342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19342
Therefore, the GCF of Fractions 152/38,790/509 is 2/19342
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 38,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,509) x common factors =1 x 1 = 1
LCM(38,509) = ( 38 × 509 ) / 1
LCM(38,509) = 19342 / 1
LCM(38,509) = 19342
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 152/38, 790/509?
Answer: GCF of Numerators as per given numbers 152/38, 790/509 is
GCF of Numerators i.e. for 152,790 is 2
LCM of denominators i.e. for 38,509 is 19342.
Thus, GCF of Fractions is 2/19342.Finally, GCF of Fractions for 152/38, 790/509 is 2/19342.