Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 328/60,400/917
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 328,400
Greatest Common Factor of Numerators i.e. GCF of 328,400 is 8 .
LCM of Denominators means LCM of 60,917 as per the given fractions.
LCM of 60,917 is 55020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 328,400
2 | 328, 400 |
2 | 164, 200 |
2 | 82, 100 |
41, 50 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 328,400 . The biggest common factor number is the GCF number.
So the greatest common factor 328,400 is 8.
Lets's calculate LCM of 60,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 55020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/55020
Therefore, the GCF of Fractions 328/60,400/917 is 8/55020
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 60,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,917) x common factors =1 x 1 = 1
LCM(60,917) = ( 60 × 917 ) / 1
LCM(60,917) = 55020 / 1
LCM(60,917) = 55020
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 328/60, 400/917?
Answer: GCF of Numerators as per given numbers 328/60, 400/917 is
GCF of Numerators i.e. for 328,400 is 8
LCM of denominators i.e. for 60,917 is 55020.
Thus, GCF of Fractions is 8/55020.Finally, GCF of Fractions for 328/60, 400/917 is 8/55020.