Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6613/539,1890/5481
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 6613,1890
Greatest Common Factor of Numerators i.e. GCF of 6613,1890 is 1 .
LCM of Denominators means LCM of 539,5481 as per the given fractions.
LCM of 539,5481 is 422037 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6613,1890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1,17,389,6613
Factors of 1890
List of positive integer factors of 1890 that divides 1890 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Greatest Common Factor
We found the factors 6613,1890 . The biggest common factor number is the GCF number.
So the greatest common factor 6613,1890 is 1.
Lets's calculate LCM of 539,5481
7 | 539, 5481 |
77, 783 |
∴ So the LCM of the given numbers is 7 x 77 x 783 = 422037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422037
Therefore, the GCF of Fractions 6613/539,1890/5481 is 1/422037
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 539,5481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5481) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5481) x common factors =7 x 1 = 7
LCM(539,5481) = ( 539 × 5481 ) / 7
LCM(539,5481) = 2954259 / 7
LCM(539,5481) = 422037
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 6613/539, 1890/5481?
Answer: GCF of Numerators as per given numbers 6613/539, 1890/5481 is
GCF of Numerators i.e. for 6613,1890 is 1
LCM of denominators i.e. for 539,5481 is 422037.
Thus, GCF of Fractions is 1/422037.Finally, GCF of Fractions for 6613/539, 1890/5481 is 1/422037.