Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2377/71,8254/621
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 2377,8254
Greatest Common Factor of Numerators i.e. GCF of 2377,8254 is 1 .
LCM of Denominators means LCM of 71,621 as per the given fractions.
LCM of 71,621 is 44091 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2377,8254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2377
List of positive integer factors of 2377 that divides 2377 without a remainder.
1,2377
Factors of 8254
List of positive integer factors of 8254 that divides 8254 without a remainder.
1,2,4127,8254
Greatest Common Factor
We found the factors 2377,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 2377,8254 is 1.
Lets's calculate LCM of 71,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 44091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44091
Therefore, the GCF of Fractions 2377/71,8254/621 is 1/44091
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 71,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,621) x common factors =1 x 1 = 1
LCM(71,621) = ( 71 × 621 ) / 1
LCM(71,621) = 44091 / 1
LCM(71,621) = 44091
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 2377/71, 8254/621?
Answer: GCF of Numerators as per given numbers 2377/71, 8254/621 is
GCF of Numerators i.e. for 2377,8254 is 1
LCM of denominators i.e. for 71,621 is 44091.
Thus, GCF of Fractions is 1/44091.Finally, GCF of Fractions for 2377/71, 8254/621 is 1/44091.