Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3952/289,6871/6554
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 3952,6871
Greatest Common Factor of Numerators i.e. GCF of 3952,6871 is 1 .
LCM of Denominators means LCM of 289,6554 as per the given fractions.
LCM of 289,6554 is 1894106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3952,6871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Factors of 6871
List of positive integer factors of 6871 that divides 6871 without a remainder.
1,6871
Greatest Common Factor
We found the factors 3952,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,6871 is 1.
Lets's calculate LCM of 289,6554
Given numbers has no common factors except 1. So, there LCM is their product i.e 1894106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1894106
Therefore, the GCF of Fractions 3952/289,6871/6554 is 1/1894106
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 289,6554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,6554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,6554) x common factors =1 x 1 = 1
LCM(289,6554) = ( 289 × 6554 ) / 1
LCM(289,6554) = 1894106 / 1
LCM(289,6554) = 1894106
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 3952/289, 6871/6554?
Answer: GCF of Numerators as per given numbers 3952/289, 6871/6554 is
GCF of Numerators i.e. for 3952,6871 is 1
LCM of denominators i.e. for 289,6554 is 1894106.
Thus, GCF of Fractions is 1/1894106.Finally, GCF of Fractions for 3952/289, 6871/6554 is 1/1894106.