Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3226/52,1501/958
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 3226,1501
Greatest Common Factor of Numerators i.e. GCF of 3226,1501 is 1 .
LCM of Denominators means LCM of 52,958 as per the given fractions.
LCM of 52,958 is 24908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3226,1501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3226
List of positive integer factors of 3226 that divides 3226 without a remainder.
1,2,1613,3226
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1,19,79,1501
Greatest Common Factor
We found the factors 3226,1501 . The biggest common factor number is the GCF number.
So the greatest common factor 3226,1501 is 1.
Lets's calculate LCM of 52,958
2 | 52, 958 |
26, 479 |
∴ So the LCM of the given numbers is 2 x 26 x 479 = 24908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24908
Therefore, the GCF of Fractions 3226/52,1501/958 is 1/24908
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 52,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,958) x common factors =2 x 1 = 2
LCM(52,958) = ( 52 × 958 ) / 2
LCM(52,958) = 49816 / 2
LCM(52,958) = 24908
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 3226/52, 1501/958?
Answer: GCF of Numerators as per given numbers 3226/52, 1501/958 is
GCF of Numerators i.e. for 3226,1501 is 1
LCM of denominators i.e. for 52,958 is 24908.
Thus, GCF of Fractions is 1/24908.Finally, GCF of Fractions for 3226/52, 1501/958 is 1/24908.