Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/664,678/117,854/317
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 245,678,854
Greatest Common Factor of Numerators i.e. GCF of 245,678,854 is 1 .
LCM of Denominators means LCM of 664,117,317 as per the given fractions.
LCM of 664,117,317 is 24627096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,678,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 245,678,854 . The biggest common factor number is the GCF number.
So the greatest common factor 245,678,854 is 1.
Lets's calculate LCM of 664,117,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 24627096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24627096
Therefore, the GCF of Fractions 245/664,678/117,854/317 is 1/24627096
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 664,117,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,117,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,117,317) x common factors =1 x 1 = 1
LCM(664,117,317) = ( 664 × 117 × 317 ) / 1
LCM(664,117,317) = 24627096 / 1
LCM(664,117,317) = 24627096
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 245/664, 678/117, 854/317?
Answer: GCF of Numerators as per given numbers 245/664, 678/117, 854/317 is
GCF of Numerators i.e. for 245,678,854 is 1
LCM of denominators i.e. for 664,117,317 is 24627096.
Thus, GCF of Fractions is 1/24627096.Finally, GCF of Fractions for 245/664, 678/117, 854/317 is 1/24627096.