Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3265/51,1000/158
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 3265,1000
Greatest Common Factor of Numerators i.e. GCF of 3265,1000 is 5 .
LCM of Denominators means LCM of 51,158 as per the given fractions.
LCM of 51,158 is 8058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3265,1000
5 | 3265, 1000 |
653, 200 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3265
List of positive integer factors of 3265 that divides 3265 without a remainder.
1,5,653,3265
Factors of 1000
List of positive integer factors of 1000 that divides 1000 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Greatest Common Factor
We found the factors 3265,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 3265,1000 is 5.
Lets's calculate LCM of 51,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 8058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8058
Therefore, the GCF of Fractions 3265/51,1000/158 is 5/8058
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 51,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,158) x common factors =1 x 1 = 1
LCM(51,158) = ( 51 × 158 ) / 1
LCM(51,158) = 8058 / 1
LCM(51,158) = 8058
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 3265/51, 1000/158?
Answer: GCF of Numerators as per given numbers 3265/51, 1000/158 is
GCF of Numerators i.e. for 3265,1000 is 5
LCM of denominators i.e. for 51,158 is 8058.
Thus, GCF of Fractions is 5/8058.Finally, GCF of Fractions for 3265/51, 1000/158 is 5/8058.