Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5997/635,6258/7076
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 5997,6258
Greatest Common Factor of Numerators i.e. GCF of 5997,6258 is 3 .
LCM of Denominators means LCM of 635,7076 as per the given fractions.
LCM of 635,7076 is 4493260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5997,6258
3 | 5997, 6258 |
1999, 2086 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5997
List of positive integer factors of 5997 that divides 5997 without a remainder.
1,3,1999,5997
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Greatest Common Factor
We found the factors 5997,6258 . The biggest common factor number is the GCF number.
So the greatest common factor 5997,6258 is 3.
Lets's calculate LCM of 635,7076
Given numbers has no common factors except 1. So, there LCM is their product i.e 4493260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4493260
Therefore, the GCF of Fractions 5997/635,6258/7076 is 3/4493260
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 635,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,7076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,7076) x common factors =1 x 1 = 1
LCM(635,7076) = ( 635 × 7076 ) / 1
LCM(635,7076) = 4493260 / 1
LCM(635,7076) = 4493260
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 5997/635, 6258/7076?
Answer: GCF of Numerators as per given numbers 5997/635, 6258/7076 is
GCF of Numerators i.e. for 5997,6258 is 3
LCM of denominators i.e. for 635,7076 is 4493260.
Thus, GCF of Fractions is 3/4493260.Finally, GCF of Fractions for 5997/635, 6258/7076 is 3/4493260.