Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 320/766,871/809,915/118
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 320,871,915
Greatest Common Factor of Numerators i.e. GCF of 320,871,915 is 1 .
LCM of Denominators means LCM of 766,809,118 as per the given fractions.
LCM of 766,809,118 is 36561946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 320,871,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 320,871,915 . The biggest common factor number is the GCF number.
So the greatest common factor 320,871,915 is 1.
Lets's calculate LCM of 766,809,118
2 | 766, 809, 118 |
383, 809, 59 |
∴ So the LCM of the given numbers is 2 x 383 x 809 x 59 = 36561946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36561946
Therefore, the GCF of Fractions 320/766,871/809,915/118 is 1/36561946
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 766,809,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,809,118) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(766,809,118) x common factors =1 x 2 = 2
LCM(766,809,118) = ( 766 × 809 × 118 ) / 2
LCM(766,809,118) = 73123892 / 2
LCM(766,809,118) = 36561946
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 320/766, 871/809, 915/118?
Answer: GCF of Numerators as per given numbers 320/766, 871/809, 915/118 is
GCF of Numerators i.e. for 320,871,915 is 1
LCM of denominators i.e. for 766,809,118 is 36561946.
Thus, GCF of Fractions is 1/36561946.Finally, GCF of Fractions for 320/766, 871/809, 915/118 is 1/36561946.