Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3034/49,5721/292
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 3034,5721
Greatest Common Factor of Numerators i.e. GCF of 3034,5721 is 1 .
LCM of Denominators means LCM of 49,292 as per the given fractions.
LCM of 49,292 is 14308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3034,5721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1,2,37,41,74,82,1517,3034
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1,3,1907,5721
Greatest Common Factor
We found the factors 3034,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 3034,5721 is 1.
Lets's calculate LCM of 49,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 14308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14308
Therefore, the GCF of Fractions 3034/49,5721/292 is 1/14308
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 49,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,292) x common factors =1 x 1 = 1
LCM(49,292) = ( 49 × 292 ) / 1
LCM(49,292) = 14308 / 1
LCM(49,292) = 14308
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 3034/49, 5721/292?
Answer: GCF of Numerators as per given numbers 3034/49, 5721/292 is
GCF of Numerators i.e. for 3034,5721 is 1
LCM of denominators i.e. for 49,292 is 14308.
Thus, GCF of Fractions is 1/14308.Finally, GCF of Fractions for 3034/49, 5721/292 is 1/14308.