Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3310/558,7477/333
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 3310,7477
Greatest Common Factor of Numerators i.e. GCF of 3310,7477 is 1 .
LCM of Denominators means LCM of 558,333 as per the given fractions.
LCM of 558,333 is 20646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3310,7477
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3310
List of positive integer factors of 3310 that divides 3310 without a remainder.
1,2,5,10,331,662,1655,3310
Factors of 7477
List of positive integer factors of 7477 that divides 7477 without a remainder.
1,7477
Greatest Common Factor
We found the factors 3310,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,7477 is 1.
Lets's calculate LCM of 558,333
3 | 558, 333 |
3 | 186, 111 |
62, 37 |
∴ So the LCM of the given numbers is 3 x 3 x 62 x 37 = 20646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20646
Therefore, the GCF of Fractions 3310/558,7477/333 is 1/20646
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 558,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,333) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(558,333) x common factors =9 x 1 = 9
LCM(558,333) = ( 558 × 333 ) / 9
LCM(558,333) = 185814 / 9
LCM(558,333) = 20646
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 3310/558, 7477/333?
Answer: GCF of Numerators as per given numbers 3310/558, 7477/333 is
GCF of Numerators i.e. for 3310,7477 is 1
LCM of denominators i.e. for 558,333 is 20646.
Thus, GCF of Fractions is 1/20646.Finally, GCF of Fractions for 3310/558, 7477/333 is 1/20646.