Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/159,900/617
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 957,900
Greatest Common Factor of Numerators i.e. GCF of 957,900 is 3 .
LCM of Denominators means LCM of 159,617 as per the given fractions.
LCM of 159,617 is 98103 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,900
3 | 957, 900 |
319, 300 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 957,900 . The biggest common factor number is the GCF number.
So the greatest common factor 957,900 is 3.
Lets's calculate LCM of 159,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 98103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/98103
Therefore, the GCF of Fractions 957/159,900/617 is 3/98103
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 159,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,617) x common factors =1 x 1 = 1
LCM(159,617) = ( 159 × 617 ) / 1
LCM(159,617) = 98103 / 1
LCM(159,617) = 98103
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 957/159, 900/617?
Answer: GCF of Numerators as per given numbers 957/159, 900/617 is
GCF of Numerators i.e. for 957,900 is 3
LCM of denominators i.e. for 159,617 is 98103.
Thus, GCF of Fractions is 3/98103.Finally, GCF of Fractions for 957/159, 900/617 is 3/98103.