Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4466/910,3525/457
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 4466,3525
Greatest Common Factor of Numerators i.e. GCF of 4466,3525 is 1 .
LCM of Denominators means LCM of 910,457 as per the given fractions.
LCM of 910,457 is 415870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4466,3525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4466
List of positive integer factors of 4466 that divides 4466 without a remainder.
1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Factors of 3525
List of positive integer factors of 3525 that divides 3525 without a remainder.
1,3,5,15,25,47,75,141,235,705,1175,3525
Greatest Common Factor
We found the factors 4466,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 4466,3525 is 1.
Lets's calculate LCM of 910,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 415870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415870
Therefore, the GCF of Fractions 4466/910,3525/457 is 1/415870
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 910,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,457) x common factors =1 x 1 = 1
LCM(910,457) = ( 910 × 457 ) / 1
LCM(910,457) = 415870 / 1
LCM(910,457) = 415870
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 4466/910, 3525/457?
Answer: GCF of Numerators as per given numbers 4466/910, 3525/457 is
GCF of Numerators i.e. for 4466,3525 is 1
LCM of denominators i.e. for 910,457 is 415870.
Thus, GCF of Fractions is 1/415870.Finally, GCF of Fractions for 4466/910, 3525/457 is 1/415870.