Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6656/120,2833/1231
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 6656,2833
Greatest Common Factor of Numerators i.e. GCF of 6656,2833 is 1 .
LCM of Denominators means LCM of 120,1231 as per the given fractions.
LCM of 120,1231 is 147720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6656,2833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6656
List of positive integer factors of 6656 that divides 6656 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656
Factors of 2833
List of positive integer factors of 2833 that divides 2833 without a remainder.
1,2833
Greatest Common Factor
We found the factors 6656,2833 . The biggest common factor number is the GCF number.
So the greatest common factor 6656,2833 is 1.
Lets's calculate LCM of 120,1231
Given numbers has no common factors except 1. So, there LCM is their product i.e 147720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147720
Therefore, the GCF of Fractions 6656/120,2833/1231 is 1/147720
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 120,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,1231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,1231) x common factors =1 x 1 = 1
LCM(120,1231) = ( 120 × 1231 ) / 1
LCM(120,1231) = 147720 / 1
LCM(120,1231) = 147720
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 6656/120, 2833/1231?
Answer: GCF of Numerators as per given numbers 6656/120, 2833/1231 is
GCF of Numerators i.e. for 6656,2833 is 1
LCM of denominators i.e. for 120,1231 is 147720.
Thus, GCF of Fractions is 1/147720.Finally, GCF of Fractions for 6656/120, 2833/1231 is 1/147720.