Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1977/71,3301/724
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 1977,3301
Greatest Common Factor of Numerators i.e. GCF of 1977,3301 is 1 .
LCM of Denominators means LCM of 71,724 as per the given fractions.
LCM of 71,724 is 51404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1977,3301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1977
List of positive integer factors of 1977 that divides 1977 without a remainder.
1,3,659,1977
Factors of 3301
List of positive integer factors of 3301 that divides 3301 without a remainder.
1,3301
Greatest Common Factor
We found the factors 1977,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,3301 is 1.
Lets's calculate LCM of 71,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 51404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51404
Therefore, the GCF of Fractions 1977/71,3301/724 is 1/51404
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 71,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,724) x common factors =1 x 1 = 1
LCM(71,724) = ( 71 × 724 ) / 1
LCM(71,724) = 51404 / 1
LCM(71,724) = 51404
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 1977/71, 3301/724?
Answer: GCF of Numerators as per given numbers 1977/71, 3301/724 is
GCF of Numerators i.e. for 1977,3301 is 1
LCM of denominators i.e. for 71,724 is 51404.
Thus, GCF of Fractions is 1/51404.Finally, GCF of Fractions for 1977/71, 3301/724 is 1/51404.