Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9257/53,4928/150
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 9257,4928
Greatest Common Factor of Numerators i.e. GCF of 9257,4928 is 1 .
LCM of Denominators means LCM of 53,150 as per the given fractions.
LCM of 53,150 is 7950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9257,4928
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9257
List of positive integer factors of 9257 that divides 9257 without a remainder.
1,9257
Factors of 4928
List of positive integer factors of 4928 that divides 4928 without a remainder.
1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 9257,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 9257,4928 is 1.
Lets's calculate LCM of 53,150
Given numbers has no common factors except 1. So, there LCM is their product i.e 7950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7950
Therefore, the GCF of Fractions 9257/53,4928/150 is 1/7950
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 53,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,150) x common factors =1 x 1 = 1
LCM(53,150) = ( 53 × 150 ) / 1
LCM(53,150) = 7950 / 1
LCM(53,150) = 7950
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 9257/53, 4928/150?
Answer: GCF of Numerators as per given numbers 9257/53, 4928/150 is
GCF of Numerators i.e. for 9257,4928 is 1
LCM of denominators i.e. for 53,150 is 7950.
Thus, GCF of Fractions is 1/7950.Finally, GCF of Fractions for 9257/53, 4928/150 is 1/7950.