Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7333/61,3405/304
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 7333,3405
Greatest Common Factor of Numerators i.e. GCF of 7333,3405 is 1 .
LCM of Denominators means LCM of 61,304 as per the given fractions.
LCM of 61,304 is 18544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7333,3405
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7333
List of positive integer factors of 7333 that divides 7333 without a remainder.
1,7333
Factors of 3405
List of positive integer factors of 3405 that divides 3405 without a remainder.
1,3,5,15,227,681,1135,3405
Greatest Common Factor
We found the factors 7333,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 7333,3405 is 1.
Lets's calculate LCM of 61,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 18544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18544
Therefore, the GCF of Fractions 7333/61,3405/304 is 1/18544
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 61,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,304) x common factors =1 x 1 = 1
LCM(61,304) = ( 61 × 304 ) / 1
LCM(61,304) = 18544 / 1
LCM(61,304) = 18544
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 7333/61, 3405/304?
Answer: GCF of Numerators as per given numbers 7333/61, 3405/304 is
GCF of Numerators i.e. for 7333,3405 is 1
LCM of denominators i.e. for 61,304 is 18544.
Thus, GCF of Fractions is 1/18544.Finally, GCF of Fractions for 7333/61, 3405/304 is 1/18544.