Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3129/776,5875/335
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 3129,5875
Greatest Common Factor of Numerators i.e. GCF of 3129,5875 is 1 .
LCM of Denominators means LCM of 776,335 as per the given fractions.
LCM of 776,335 is 259960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3129,5875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3129
List of positive integer factors of 3129 that divides 3129 without a remainder.
1,3,7,21,149,447,1043,3129
Factors of 5875
List of positive integer factors of 5875 that divides 5875 without a remainder.
1,5,25,47,125,235,1175,5875
Greatest Common Factor
We found the factors 3129,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 3129,5875 is 1.
Lets's calculate LCM of 776,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 259960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259960
Therefore, the GCF of Fractions 3129/776,5875/335 is 1/259960
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 776,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,335) x common factors =1 x 1 = 1
LCM(776,335) = ( 776 × 335 ) / 1
LCM(776,335) = 259960 / 1
LCM(776,335) = 259960
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 3129/776, 5875/335?
Answer: GCF of Numerators as per given numbers 3129/776, 5875/335 is
GCF of Numerators i.e. for 3129,5875 is 1
LCM of denominators i.e. for 776,335 is 259960.
Thus, GCF of Fractions is 1/259960.Finally, GCF of Fractions for 3129/776, 5875/335 is 1/259960.