Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4250/141,8771/6365
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 4250,8771
Greatest Common Factor of Numerators i.e. GCF of 4250,8771 is 1 .
LCM of Denominators means LCM of 141,6365 as per the given fractions.
LCM of 141,6365 is 897465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4250,8771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4250
List of positive integer factors of 4250 that divides 4250 without a remainder.
1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Factors of 8771
List of positive integer factors of 8771 that divides 8771 without a remainder.
1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 4250,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 4250,8771 is 1.
Lets's calculate LCM of 141,6365
Given numbers has no common factors except 1. So, there LCM is their product i.e 897465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897465
Therefore, the GCF of Fractions 4250/141,8771/6365 is 1/897465
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 141,6365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,6365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,6365) x common factors =1 x 1 = 1
LCM(141,6365) = ( 141 × 6365 ) / 1
LCM(141,6365) = 897465 / 1
LCM(141,6365) = 897465
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 4250/141, 8771/6365?
Answer: GCF of Numerators as per given numbers 4250/141, 8771/6365 is
GCF of Numerators i.e. for 4250,8771 is 1
LCM of denominators i.e. for 141,6365 is 897465.
Thus, GCF of Fractions is 1/897465.Finally, GCF of Fractions for 4250/141, 8771/6365 is 1/897465.