Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3887/860,4993/651
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 3887,4993
Greatest Common Factor of Numerators i.e. GCF of 3887,4993 is 1 .
LCM of Denominators means LCM of 860,651 as per the given fractions.
LCM of 860,651 is 559860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3887,4993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3887
List of positive integer factors of 3887 that divides 3887 without a remainder.
1,13,23,169,299,3887
Factors of 4993
List of positive integer factors of 4993 that divides 4993 without a remainder.
1,4993
Greatest Common Factor
We found the factors 3887,4993 . The biggest common factor number is the GCF number.
So the greatest common factor 3887,4993 is 1.
Lets's calculate LCM of 860,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 559860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559860
Therefore, the GCF of Fractions 3887/860,4993/651 is 1/559860
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 860,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,651) x common factors =1 x 1 = 1
LCM(860,651) = ( 860 × 651 ) / 1
LCM(860,651) = 559860 / 1
LCM(860,651) = 559860
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 3887/860, 4993/651?
Answer: GCF of Numerators as per given numbers 3887/860, 4993/651 is
GCF of Numerators i.e. for 3887,4993 is 1
LCM of denominators i.e. for 860,651 is 559860.
Thus, GCF of Fractions is 1/559860.Finally, GCF of Fractions for 3887/860, 4993/651 is 1/559860.