Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/14,992/89,852/123
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 935,992,852
Greatest Common Factor of Numerators i.e. GCF of 935,992,852 is 1 .
LCM of Denominators means LCM of 14,89,123 as per the given fractions.
LCM of 14,89,123 is 153258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,992,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 935,992,852 . The biggest common factor number is the GCF number.
So the greatest common factor 935,992,852 is 1.
Lets's calculate LCM of 14,89,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 153258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153258
Therefore, the GCF of Fractions 935/14,992/89,852/123 is 1/153258
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 14,89,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,89,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,89,123) x common factors =1 x 1 = 1
LCM(14,89,123) = ( 14 × 89 × 123 ) / 1
LCM(14,89,123) = 153258 / 1
LCM(14,89,123) = 153258
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 935/14, 992/89, 852/123?
Answer: GCF of Numerators as per given numbers 935/14, 992/89, 852/123 is
GCF of Numerators i.e. for 935,992,852 is 1
LCM of denominators i.e. for 14,89,123 is 153258.
Thus, GCF of Fractions is 1/153258.Finally, GCF of Fractions for 935/14, 992/89, 852/123 is 1/153258.