Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/667,778/222,465/447
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 341,778,465
Greatest Common Factor of Numerators i.e. GCF of 341,778,465 is 1 .
LCM of Denominators means LCM of 667,222,447 as per the given fractions.
LCM of 667,222,447 is 22063026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 341,778,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 341,778,465 . The biggest common factor number is the GCF number.
So the greatest common factor 341,778,465 is 1.
Lets's calculate LCM of 667,222,447
3 | 667, 222, 447 |
667, 74, 149 |
∴ So the LCM of the given numbers is 3 x 667 x 74 x 149 = 22063026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22063026
Therefore, the GCF of Fractions 341/667,778/222,465/447 is 1/22063026
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 667,222,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,222,447) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(667,222,447) x common factors =1 x 3 = 3
LCM(667,222,447) = ( 667 × 222 × 447 ) / 3
LCM(667,222,447) = 66189078 / 3
LCM(667,222,447) = 22063026
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 341/667, 778/222, 465/447?
Answer: GCF of Numerators as per given numbers 341/667, 778/222, 465/447 is
GCF of Numerators i.e. for 341,778,465 is 1
LCM of denominators i.e. for 667,222,447 is 22063026.
Thus, GCF of Fractions is 1/22063026.Finally, GCF of Fractions for 341/667, 778/222, 465/447 is 1/22063026.