Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2661/325,1321/3671
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 2661,1321
Greatest Common Factor of Numerators i.e. GCF of 2661,1321 is 1 .
LCM of Denominators means LCM of 325,3671 as per the given fractions.
LCM of 325,3671 is 1193075 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2661,1321
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2661
List of positive integer factors of 2661 that divides 2661 without a remainder.
1,3,887,2661
Factors of 1321
List of positive integer factors of 1321 that divides 1321 without a remainder.
1,1321
Greatest Common Factor
We found the factors 2661,1321 . The biggest common factor number is the GCF number.
So the greatest common factor 2661,1321 is 1.
Lets's calculate LCM of 325,3671
Given numbers has no common factors except 1. So, there LCM is their product i.e 1193075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1193075
Therefore, the GCF of Fractions 2661/325,1321/3671 is 1/1193075
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 325,3671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,3671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,3671) x common factors =1 x 1 = 1
LCM(325,3671) = ( 325 × 3671 ) / 1
LCM(325,3671) = 1193075 / 1
LCM(325,3671) = 1193075
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 2661/325, 1321/3671?
Answer: GCF of Numerators as per given numbers 2661/325, 1321/3671 is
GCF of Numerators i.e. for 2661,1321 is 1
LCM of denominators i.e. for 325,3671 is 1193075.
Thus, GCF of Fractions is 1/1193075.Finally, GCF of Fractions for 2661/325, 1321/3671 is 1/1193075.