Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/555,1867/1925
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 36,1867
Greatest Common Factor of Numerators i.e. GCF of 36,1867 is 1 .
LCM of Denominators means LCM of 555,1925 as per the given fractions.
LCM of 555,1925 is 213675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,1867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 1867
List of positive integer factors of 1867 that divides 1867 without a remainder.
1,1867
Greatest Common Factor
We found the factors 36,1867 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1867 is 1.
Lets's calculate LCM of 555,1925
5 | 555, 1925 |
111, 385 |
∴ So the LCM of the given numbers is 5 x 111 x 385 = 213675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213675
Therefore, the GCF of Fractions 36/555,1867/1925 is 1/213675
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 555,1925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,1925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(555,1925) x common factors =5 x 1 = 5
LCM(555,1925) = ( 555 × 1925 ) / 5
LCM(555,1925) = 1068375 / 5
LCM(555,1925) = 213675
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 36/555, 1867/1925?
Answer: GCF of Numerators as per given numbers 36/555, 1867/1925 is
GCF of Numerators i.e. for 36,1867 is 1
LCM of denominators i.e. for 555,1925 is 213675.
Thus, GCF of Fractions is 1/213675.Finally, GCF of Fractions for 36/555, 1867/1925 is 1/213675.