Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2356/433,2018/555
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 2356,2018
Greatest Common Factor of Numerators i.e. GCF of 2356,2018 is 2 .
LCM of Denominators means LCM of 433,555 as per the given fractions.
LCM of 433,555 is 240315 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2356,2018
2 | 2356, 2018 |
1178, 1009 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2356
List of positive integer factors of 2356 that divides 2356 without a remainder.
1,2,4,19,31,38,62,76,124,589,1178,2356
Factors of 2018
List of positive integer factors of 2018 that divides 2018 without a remainder.
1,2,1009,2018
Greatest Common Factor
We found the factors 2356,2018 . The biggest common factor number is the GCF number.
So the greatest common factor 2356,2018 is 2.
Lets's calculate LCM of 433,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 240315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240315
Therefore, the GCF of Fractions 2356/433,2018/555 is 2/240315
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 433,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,555) x common factors =1 x 1 = 1
LCM(433,555) = ( 433 × 555 ) / 1
LCM(433,555) = 240315 / 1
LCM(433,555) = 240315
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 2356/433, 2018/555?
Answer: GCF of Numerators as per given numbers 2356/433, 2018/555 is
GCF of Numerators i.e. for 2356,2018 is 2
LCM of denominators i.e. for 433,555 is 240315.
Thus, GCF of Fractions is 2/240315.Finally, GCF of Fractions for 2356/433, 2018/555 is 2/240315.