Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/115,425/993,887/374
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 965,425,887
Greatest Common Factor of Numerators i.e. GCF of 965,425,887 is 1 .
LCM of Denominators means LCM of 115,993,374 as per the given fractions.
LCM of 115,993,374 is 42708930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,425,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 965,425,887 . The biggest common factor number is the GCF number.
So the greatest common factor 965,425,887 is 1.
Lets's calculate LCM of 115,993,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 42708930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42708930
Therefore, the GCF of Fractions 965/115,425/993,887/374 is 1/42708930
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 115,993,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,993,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,993,374) x common factors =1 x 1 = 1
LCM(115,993,374) = ( 115 × 993 × 374 ) / 1
LCM(115,993,374) = 42708930 / 1
LCM(115,993,374) = 42708930
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 965/115, 425/993, 887/374?
Answer: GCF of Numerators as per given numbers 965/115, 425/993, 887/374 is
GCF of Numerators i.e. for 965,425,887 is 1
LCM of denominators i.e. for 115,993,374 is 42708930.
Thus, GCF of Fractions is 1/42708930.Finally, GCF of Fractions for 965/115, 425/993, 887/374 is 1/42708930.