Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5473/569,3899/880
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 5473,3899
Greatest Common Factor of Numerators i.e. GCF of 5473,3899 is 1 .
LCM of Denominators means LCM of 569,880 as per the given fractions.
LCM of 569,880 is 500720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5473,3899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5473
List of positive integer factors of 5473 that divides 5473 without a remainder.
1,13,421,5473
Factors of 3899
List of positive integer factors of 3899 that divides 3899 without a remainder.
1,7,557,3899
Greatest Common Factor
We found the factors 5473,3899 . The biggest common factor number is the GCF number.
So the greatest common factor 5473,3899 is 1.
Lets's calculate LCM of 569,880
Given numbers has no common factors except 1. So, there LCM is their product i.e 500720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500720
Therefore, the GCF of Fractions 5473/569,3899/880 is 1/500720
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 569,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,880) x common factors =1 x 1 = 1
LCM(569,880) = ( 569 × 880 ) / 1
LCM(569,880) = 500720 / 1
LCM(569,880) = 500720
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 5473/569, 3899/880?
Answer: GCF of Numerators as per given numbers 5473/569, 3899/880 is
GCF of Numerators i.e. for 5473,3899 is 1
LCM of denominators i.e. for 569,880 is 500720.
Thus, GCF of Fractions is 1/500720.Finally, GCF of Fractions for 5473/569, 3899/880 is 1/500720.