Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3982/52,5494/295
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 3982,5494
Greatest Common Factor of Numerators i.e. GCF of 3982,5494 is 2 .
LCM of Denominators means LCM of 52,295 as per the given fractions.
LCM of 52,295 is 15340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3982,5494
2 | 3982, 5494 |
1991, 2747 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3982
List of positive integer factors of 3982 that divides 3982 without a remainder.
1,2,11,22,181,362,1991,3982
Factors of 5494
List of positive integer factors of 5494 that divides 5494 without a remainder.
1,2,41,67,82,134,2747,5494
Greatest Common Factor
We found the factors 3982,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 3982,5494 is 2.
Lets's calculate LCM of 52,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 15340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15340
Therefore, the GCF of Fractions 3982/52,5494/295 is 2/15340
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 52,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,295) x common factors =1 x 1 = 1
LCM(52,295) = ( 52 × 295 ) / 1
LCM(52,295) = 15340 / 1
LCM(52,295) = 15340
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 3982/52, 5494/295?
Answer: GCF of Numerators as per given numbers 3982/52, 5494/295 is
GCF of Numerators i.e. for 3982,5494 is 2
LCM of denominators i.e. for 52,295 is 15340.
Thus, GCF of Fractions is 2/15340.Finally, GCF of Fractions for 3982/52, 5494/295 is 2/15340.