Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 242/83,9972/583
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 242,9972
Greatest Common Factor of Numerators i.e. GCF of 242,9972 is 2 .
LCM of Denominators means LCM of 83,583 as per the given fractions.
LCM of 83,583 is 48389 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 242,9972
2 | 242, 9972 |
121, 4986 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 9972
List of positive integer factors of 9972 that divides 9972 without a remainder.
1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 242,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 242,9972 is 2.
Lets's calculate LCM of 83,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 48389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48389
Therefore, the GCF of Fractions 242/83,9972/583 is 2/48389
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 83,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,583) x common factors =1 x 1 = 1
LCM(83,583) = ( 83 × 583 ) / 1
LCM(83,583) = 48389 / 1
LCM(83,583) = 48389
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 242/83, 9972/583?
Answer: GCF of Numerators as per given numbers 242/83, 9972/583 is
GCF of Numerators i.e. for 242,9972 is 2
LCM of denominators i.e. for 83,583 is 48389.
Thus, GCF of Fractions is 2/48389.Finally, GCF of Fractions for 242/83, 9972/583 is 2/48389.