Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/31,914/20,838/287
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 558,914,838
Greatest Common Factor of Numerators i.e. GCF of 558,914,838 is 2 .
LCM of Denominators means LCM of 31,20,287 as per the given fractions.
LCM of 31,20,287 is 177940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 558,914,838
2 | 558, 914, 838 |
279, 457, 419 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 558,914,838 . The biggest common factor number is the GCF number.
So the greatest common factor 558,914,838 is 2.
Lets's calculate LCM of 31,20,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 177940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177940
Therefore, the GCF of Fractions 558/31,914/20,838/287 is 2/177940
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 31,20,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,20,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,20,287) x common factors =1 x 1 = 1
LCM(31,20,287) = ( 31 × 20 × 287 ) / 1
LCM(31,20,287) = 177940 / 1
LCM(31,20,287) = 177940
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 558/31, 914/20, 838/287?
Answer: GCF of Numerators as per given numbers 558/31, 914/20, 838/287 is
GCF of Numerators i.e. for 558,914,838 is 2
LCM of denominators i.e. for 31,20,287 is 177940.
Thus, GCF of Fractions is 2/177940.Finally, GCF of Fractions for 558/31, 914/20, 838/287 is 2/177940.