Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 773/23,538/13,796/305
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 773,538,796
Greatest Common Factor of Numerators i.e. GCF of 773,538,796 is 1 .
LCM of Denominators means LCM of 23,13,305 as per the given fractions.
LCM of 23,13,305 is 91195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 773,538,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 773,538,796 . The biggest common factor number is the GCF number.
So the greatest common factor 773,538,796 is 1.
Lets's calculate LCM of 23,13,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 91195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91195
Therefore, the GCF of Fractions 773/23,538/13,796/305 is 1/91195
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 23,13,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,13,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,13,305) x common factors =1 x 1 = 1
LCM(23,13,305) = ( 23 × 13 × 305 ) / 1
LCM(23,13,305) = 91195 / 1
LCM(23,13,305) = 91195
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 773/23, 538/13, 796/305?
Answer: GCF of Numerators as per given numbers 773/23, 538/13, 796/305 is
GCF of Numerators i.e. for 773,538,796 is 1
LCM of denominators i.e. for 23,13,305 is 91195.
Thus, GCF of Fractions is 1/91195.Finally, GCF of Fractions for 773/23, 538/13, 796/305 is 1/91195.