Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/99,943/94,374/191
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 412,943,374
Greatest Common Factor of Numerators i.e. GCF of 412,943,374 is 1 .
LCM of Denominators means LCM of 99,94,191 as per the given fractions.
LCM of 99,94,191 is 1777446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,943,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 412,943,374 . The biggest common factor number is the GCF number.
So the greatest common factor 412,943,374 is 1.
Lets's calculate LCM of 99,94,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 1777446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1777446
Therefore, the GCF of Fractions 412/99,943/94,374/191 is 1/1777446
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 99,94,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,94,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,94,191) x common factors =1 x 1 = 1
LCM(99,94,191) = ( 99 × 94 × 191 ) / 1
LCM(99,94,191) = 1777446 / 1
LCM(99,94,191) = 1777446
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 412/99, 943/94, 374/191?
Answer: GCF of Numerators as per given numbers 412/99, 943/94, 374/191 is
GCF of Numerators i.e. for 412,943,374 is 1
LCM of denominators i.e. for 99,94,191 is 1777446.
Thus, GCF of Fractions is 1/1777446.Finally, GCF of Fractions for 412/99, 943/94, 374/191 is 1/1777446.