Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6231/29,5756/345
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 6231,5756
Greatest Common Factor of Numerators i.e. GCF of 6231,5756 is 1 .
LCM of Denominators means LCM of 29,345 as per the given fractions.
LCM of 29,345 is 10005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6231,5756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6231
List of positive integer factors of 6231 that divides 6231 without a remainder.
1,3,31,67,93,201,2077,6231
Factors of 5756
List of positive integer factors of 5756 that divides 5756 without a remainder.
1,2,4,1439,2878,5756
Greatest Common Factor
We found the factors 6231,5756 . The biggest common factor number is the GCF number.
So the greatest common factor 6231,5756 is 1.
Lets's calculate LCM of 29,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 10005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10005
Therefore, the GCF of Fractions 6231/29,5756/345 is 1/10005
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 29,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,345) x common factors =1 x 1 = 1
LCM(29,345) = ( 29 × 345 ) / 1
LCM(29,345) = 10005 / 1
LCM(29,345) = 10005
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 6231/29, 5756/345?
Answer: GCF of Numerators as per given numbers 6231/29, 5756/345 is
GCF of Numerators i.e. for 6231,5756 is 1
LCM of denominators i.e. for 29,345 is 10005.
Thus, GCF of Fractions is 1/10005.Finally, GCF of Fractions for 6231/29, 5756/345 is 1/10005.