Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/68,238/67,728/419
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 813,238,728
Greatest Common Factor of Numerators i.e. GCF of 813,238,728 is 1 .
LCM of Denominators means LCM of 68,67,419 as per the given fractions.
LCM of 68,67,419 is 1908964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 813,238,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 813,238,728 . The biggest common factor number is the GCF number.
So the greatest common factor 813,238,728 is 1.
Lets's calculate LCM of 68,67,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 1908964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1908964
Therefore, the GCF of Fractions 813/68,238/67,728/419 is 1/1908964
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 68,67,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,67,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,67,419) x common factors =1 x 1 = 1
LCM(68,67,419) = ( 68 × 67 × 419 ) / 1
LCM(68,67,419) = 1908964 / 1
LCM(68,67,419) = 1908964
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 813/68, 238/67, 728/419?
Answer: GCF of Numerators as per given numbers 813/68, 238/67, 728/419 is
GCF of Numerators i.e. for 813,238,728 is 1
LCM of denominators i.e. for 68,67,419 is 1908964.
Thus, GCF of Fractions is 1/1908964.Finally, GCF of Fractions for 813/68, 238/67, 728/419 is 1/1908964.