Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/899,948/232
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 907,948
Greatest Common Factor of Numerators i.e. GCF of 907,948 is 1 .
LCM of Denominators means LCM of 899,232 as per the given fractions.
LCM of 899,232 is 7192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 907,948 . The biggest common factor number is the GCF number.
So the greatest common factor 907,948 is 1.
Lets's calculate LCM of 899,232
29 | 899, 232 |
31, 8 |
∴ So the LCM of the given numbers is 29 x 31 x 8 = 7192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7192
Therefore, the GCF of Fractions 907/899,948/232 is 1/7192
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 899,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,232) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(899,232) x common factors =29 x 1 = 29
LCM(899,232) = ( 899 × 232 ) / 29
LCM(899,232) = 208568 / 29
LCM(899,232) = 7192
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 907/899, 948/232?
Answer: GCF of Numerators as per given numbers 907/899, 948/232 is
GCF of Numerators i.e. for 907,948 is 1
LCM of denominators i.e. for 899,232 is 7192.
Thus, GCF of Fractions is 1/7192.Finally, GCF of Fractions for 907/899, 948/232 is 1/7192.