Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2581/439,6120/6858
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 2581,6120
Greatest Common Factor of Numerators i.e. GCF of 2581,6120 is 1 .
LCM of Denominators means LCM of 439,6858 as per the given fractions.
LCM of 439,6858 is 3010662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2581,6120
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2581
List of positive integer factors of 2581 that divides 2581 without a remainder.
1,29,89,2581
Factors of 6120
List of positive integer factors of 6120 that divides 6120 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120
Greatest Common Factor
We found the factors 2581,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 2581,6120 is 1.
Lets's calculate LCM of 439,6858
Given numbers has no common factors except 1. So, there LCM is their product i.e 3010662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3010662
Therefore, the GCF of Fractions 2581/439,6120/6858 is 1/3010662
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 439,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,6858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,6858) x common factors =1 x 1 = 1
LCM(439,6858) = ( 439 × 6858 ) / 1
LCM(439,6858) = 3010662 / 1
LCM(439,6858) = 3010662
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 2581/439, 6120/6858?
Answer: GCF of Numerators as per given numbers 2581/439, 6120/6858 is
GCF of Numerators i.e. for 2581,6120 is 1
LCM of denominators i.e. for 439,6858 is 3010662.
Thus, GCF of Fractions is 1/3010662.Finally, GCF of Fractions for 2581/439, 6120/6858 is 1/3010662.