Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/100,2017/5548
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 367,2017
Greatest Common Factor of Numerators i.e. GCF of 367,2017 is 1 .
LCM of Denominators means LCM of 100,5548 as per the given fractions.
LCM of 100,5548 is 138700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 367,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1,2017
Greatest Common Factor
We found the factors 367,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 367,2017 is 1.
Lets's calculate LCM of 100,5548
2 | 100, 5548 |
2 | 50, 2774 |
25, 1387 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 1387 = 138700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138700
Therefore, the GCF of Fractions 367/100,2017/5548 is 1/138700
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 100,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,5548) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(100,5548) x common factors =4 x 1 = 4
LCM(100,5548) = ( 100 × 5548 ) / 4
LCM(100,5548) = 554800 / 4
LCM(100,5548) = 138700
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 367/100, 2017/5548?
Answer: GCF of Numerators as per given numbers 367/100, 2017/5548 is
GCF of Numerators i.e. for 367,2017 is 1
LCM of denominators i.e. for 100,5548 is 138700.
Thus, GCF of Fractions is 1/138700.Finally, GCF of Fractions for 367/100, 2017/5548 is 1/138700.