Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2752/59,9389/201
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 2752,9389
Greatest Common Factor of Numerators i.e. GCF of 2752,9389 is 1 .
LCM of Denominators means LCM of 59,201 as per the given fractions.
LCM of 59,201 is 11859 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2752,9389
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2752
List of positive integer factors of 2752 that divides 2752 without a remainder.
1,2,4,8,16,32,43,64,86,172,344,688,1376,2752
Factors of 9389
List of positive integer factors of 9389 that divides 9389 without a remainder.
1,41,229,9389
Greatest Common Factor
We found the factors 2752,9389 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,9389 is 1.
Lets's calculate LCM of 59,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 11859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11859
Therefore, the GCF of Fractions 2752/59,9389/201 is 1/11859
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 59,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,201) x common factors =1 x 1 = 1
LCM(59,201) = ( 59 × 201 ) / 1
LCM(59,201) = 11859 / 1
LCM(59,201) = 11859
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 2752/59, 9389/201?
Answer: GCF of Numerators as per given numbers 2752/59, 9389/201 is
GCF of Numerators i.e. for 2752,9389 is 1
LCM of denominators i.e. for 59,201 is 11859.
Thus, GCF of Fractions is 1/11859.Finally, GCF of Fractions for 2752/59, 9389/201 is 1/11859.