Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3367/90,2141/973
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 3367,2141
Greatest Common Factor of Numerators i.e. GCF of 3367,2141 is 1 .
LCM of Denominators means LCM of 90,973 as per the given fractions.
LCM of 90,973 is 87570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3367,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3367
List of positive integer factors of 3367 that divides 3367 without a remainder.
1,7,13,37,91,259,481,3367
Factors of 2141
List of positive integer factors of 2141 that divides 2141 without a remainder.
1,2141
Greatest Common Factor
We found the factors 3367,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 3367,2141 is 1.
Lets's calculate LCM of 90,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 87570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87570
Therefore, the GCF of Fractions 3367/90,2141/973 is 1/87570
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 90,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,973) x common factors =1 x 1 = 1
LCM(90,973) = ( 90 × 973 ) / 1
LCM(90,973) = 87570 / 1
LCM(90,973) = 87570
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 3367/90, 2141/973?
Answer: GCF of Numerators as per given numbers 3367/90, 2141/973 is
GCF of Numerators i.e. for 3367,2141 is 1
LCM of denominators i.e. for 90,973 is 87570.
Thus, GCF of Fractions is 1/87570.Finally, GCF of Fractions for 3367/90, 2141/973 is 1/87570.