Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/362,222/419,943/197
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 14,222,943
Greatest Common Factor of Numerators i.e. GCF of 14,222,943 is 1 .
LCM of Denominators means LCM of 362,419,197 as per the given fractions.
LCM of 362,419,197 is 29880566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,222,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 14,222,943 . The biggest common factor number is the GCF number.
So the greatest common factor 14,222,943 is 1.
Lets's calculate LCM of 362,419,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 29880566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29880566
Therefore, the GCF of Fractions 14/362,222/419,943/197 is 1/29880566
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 362,419,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,419,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,419,197) x common factors =1 x 1 = 1
LCM(362,419,197) = ( 362 × 419 × 197 ) / 1
LCM(362,419,197) = 29880566 / 1
LCM(362,419,197) = 29880566
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 14/362, 222/419, 943/197?
Answer: GCF of Numerators as per given numbers 14/362, 222/419, 943/197 is
GCF of Numerators i.e. for 14,222,943 is 1
LCM of denominators i.e. for 362,419,197 is 29880566.
Thus, GCF of Fractions is 1/29880566.Finally, GCF of Fractions for 14/362, 222/419, 943/197 is 1/29880566.