Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3117/83,2900/283
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 3117,2900
Greatest Common Factor of Numerators i.e. GCF of 3117,2900 is 1 .
LCM of Denominators means LCM of 83,283 as per the given fractions.
LCM of 83,283 is 23489 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3117,2900
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3117
List of positive integer factors of 3117 that divides 3117 without a remainder.
1,3,1039,3117
Factors of 2900
List of positive integer factors of 2900 that divides 2900 without a remainder.
1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900
Greatest Common Factor
We found the factors 3117,2900 . The biggest common factor number is the GCF number.
So the greatest common factor 3117,2900 is 1.
Lets's calculate LCM of 83,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 23489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23489
Therefore, the GCF of Fractions 3117/83,2900/283 is 1/23489
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 83,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,283) x common factors =1 x 1 = 1
LCM(83,283) = ( 83 × 283 ) / 1
LCM(83,283) = 23489 / 1
LCM(83,283) = 23489
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 3117/83, 2900/283?
Answer: GCF of Numerators as per given numbers 3117/83, 2900/283 is
GCF of Numerators i.e. for 3117,2900 is 1
LCM of denominators i.e. for 83,283 is 23489.
Thus, GCF of Fractions is 1/23489.Finally, GCF of Fractions for 3117/83, 2900/283 is 1/23489.