Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 317/707,160/960
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 317,160
Greatest Common Factor of Numerators i.e. GCF of 317,160 is 1 .
LCM of Denominators means LCM of 707,960 as per the given fractions.
LCM of 707,960 is 678720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 317,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 317,160 . The biggest common factor number is the GCF number.
So the greatest common factor 317,160 is 1.
Lets's calculate LCM of 707,960
Given numbers has no common factors except 1. So, there LCM is their product i.e 678720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678720
Therefore, the GCF of Fractions 317/707,160/960 is 1/678720
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 707,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,960) x common factors =1 x 1 = 1
LCM(707,960) = ( 707 × 960 ) / 1
LCM(707,960) = 678720 / 1
LCM(707,960) = 678720
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 317/707, 160/960?
Answer: GCF of Numerators as per given numbers 317/707, 160/960 is
GCF of Numerators i.e. for 317,160 is 1
LCM of denominators i.e. for 707,960 is 678720.
Thus, GCF of Fractions is 1/678720.Finally, GCF of Fractions for 317/707, 160/960 is 1/678720.