Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1957/61,5002/330
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 1957,5002
Greatest Common Factor of Numerators i.e. GCF of 1957,5002 is 1 .
LCM of Denominators means LCM of 61,330 as per the given fractions.
LCM of 61,330 is 20130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1957,5002
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1957
List of positive integer factors of 1957 that divides 1957 without a remainder.
1,19,103,1957
Factors of 5002
List of positive integer factors of 5002 that divides 5002 without a remainder.
1,2,41,61,82,122,2501,5002
Greatest Common Factor
We found the factors 1957,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 1957,5002 is 1.
Lets's calculate LCM of 61,330
Given numbers has no common factors except 1. So, there LCM is their product i.e 20130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20130
Therefore, the GCF of Fractions 1957/61,5002/330 is 1/20130
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 61,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,330) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,330) x common factors =1 x 1 = 1
LCM(61,330) = ( 61 × 330 ) / 1
LCM(61,330) = 20130 / 1
LCM(61,330) = 20130
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 1957/61, 5002/330?
Answer: GCF of Numerators as per given numbers 1957/61, 5002/330 is
GCF of Numerators i.e. for 1957,5002 is 1
LCM of denominators i.e. for 61,330 is 20130.
Thus, GCF of Fractions is 1/20130.Finally, GCF of Fractions for 1957/61, 5002/330 is 1/20130.