Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/77,971/3887
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 610,971
Greatest Common Factor of Numerators i.e. GCF of 610,971 is 1 .
LCM of Denominators means LCM of 77,3887 as per the given fractions.
LCM of 77,3887 is 299299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 610,971 . The biggest common factor number is the GCF number.
So the greatest common factor 610,971 is 1.
Lets's calculate LCM of 77,3887
Given numbers has no common factors except 1. So, there LCM is their product i.e 299299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299299
Therefore, the GCF of Fractions 610/77,971/3887 is 1/299299
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 77,3887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3887) x common factors =1 x 1 = 1
LCM(77,3887) = ( 77 × 3887 ) / 1
LCM(77,3887) = 299299 / 1
LCM(77,3887) = 299299
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 610/77, 971/3887?
Answer: GCF of Numerators as per given numbers 610/77, 971/3887 is
GCF of Numerators i.e. for 610,971 is 1
LCM of denominators i.e. for 77,3887 is 299299.
Thus, GCF of Fractions is 1/299299.Finally, GCF of Fractions for 610/77, 971/3887 is 1/299299.