Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6340/89,8000/322
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 6340,8000
Greatest Common Factor of Numerators i.e. GCF of 6340,8000 is 20 .
LCM of Denominators means LCM of 89,322 as per the given fractions.
LCM of 89,322 is 28658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6340,8000
2 | 6340, 8000 |
2 | 3170, 4000 |
5 | 1585, 2000 |
317, 400 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 6340
List of positive integer factors of 6340 that divides 6340 without a remainder.
1,2,4,5,10,20,317,634,1268,1585,3170,6340
Factors of 8000
List of positive integer factors of 8000 that divides 8000 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Greatest Common Factor
We found the factors 6340,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,8000 is 20.
Lets's calculate LCM of 89,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 28658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/28658
Therefore, the GCF of Fractions 6340/89,8000/322 is 20/28658
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 89,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,322) x common factors =1 x 1 = 1
LCM(89,322) = ( 89 × 322 ) / 1
LCM(89,322) = 28658 / 1
LCM(89,322) = 28658
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 6340/89, 8000/322?
Answer: GCF of Numerators as per given numbers 6340/89, 8000/322 is
GCF of Numerators i.e. for 6340,8000 is 20
LCM of denominators i.e. for 89,322 is 28658.
Thus, GCF of Fractions is 20/28658.Finally, GCF of Fractions for 6340/89, 8000/322 is 20/28658.