Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 557/60,1889/555
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 557,1889
Greatest Common Factor of Numerators i.e. GCF of 557,1889 is 1 .
LCM of Denominators means LCM of 60,555 as per the given fractions.
LCM of 60,555 is 2220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 557,1889
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1,1889
Greatest Common Factor
We found the factors 557,1889 . The biggest common factor number is the GCF number.
So the greatest common factor 557,1889 is 1.
Lets's calculate LCM of 60,555
3 | 60, 555 |
5 | 20, 185 |
4, 37 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 37 = 2220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2220
Therefore, the GCF of Fractions 557/60,1889/555 is 1/2220
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 60,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,555) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(60,555) x common factors =15 x 1 = 15
LCM(60,555) = ( 60 × 555 ) / 15
LCM(60,555) = 33300 / 15
LCM(60,555) = 2220
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 557/60, 1889/555?
Answer: GCF of Numerators as per given numbers 557/60, 1889/555 is
GCF of Numerators i.e. for 557,1889 is 1
LCM of denominators i.e. for 60,555 is 2220.
Thus, GCF of Fractions is 1/2220.Finally, GCF of Fractions for 557/60, 1889/555 is 1/2220.