Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/9551,450/2054
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 859,450
Greatest Common Factor of Numerators i.e. GCF of 859,450 is 1 .
LCM of Denominators means LCM of 9551,2054 as per the given fractions.
LCM of 9551,2054 is 19617754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 859,450 . The biggest common factor number is the GCF number.
So the greatest common factor 859,450 is 1.
Lets's calculate LCM of 9551,2054
Given numbers has no common factors except 1. So, there LCM is their product i.e 19617754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19617754
Therefore, the GCF of Fractions 859/9551,450/2054 is 1/19617754
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 9551,2054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9551,2054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9551,2054) x common factors =1 x 1 = 1
LCM(9551,2054) = ( 9551 × 2054 ) / 1
LCM(9551,2054) = 19617754 / 1
LCM(9551,2054) = 19617754
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 859/9551, 450/2054?
Answer: GCF of Numerators as per given numbers 859/9551, 450/2054 is
GCF of Numerators i.e. for 859,450 is 1
LCM of denominators i.e. for 9551,2054 is 19617754.
Thus, GCF of Fractions is 1/19617754.Finally, GCF of Fractions for 859/9551, 450/2054 is 1/19617754.