Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 645/933,3938/461
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 645,3938
Greatest Common Factor of Numerators i.e. GCF of 645,3938 is 1 .
LCM of Denominators means LCM of 933,461 as per the given fractions.
LCM of 933,461 is 430113 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 645,3938
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 3938
List of positive integer factors of 3938 that divides 3938 without a remainder.
1,2,11,22,179,358,1969,3938
Greatest Common Factor
We found the factors 645,3938 . The biggest common factor number is the GCF number.
So the greatest common factor 645,3938 is 1.
Lets's calculate LCM of 933,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 430113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430113
Therefore, the GCF of Fractions 645/933,3938/461 is 1/430113
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 933,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,461) x common factors =1 x 1 = 1
LCM(933,461) = ( 933 × 461 ) / 1
LCM(933,461) = 430113 / 1
LCM(933,461) = 430113
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 645/933, 3938/461?
Answer: GCF of Numerators as per given numbers 645/933, 3938/461 is
GCF of Numerators i.e. for 645,3938 is 1
LCM of denominators i.e. for 933,461 is 430113.
Thus, GCF of Fractions is 1/430113.Finally, GCF of Fractions for 645/933, 3938/461 is 1/430113.