Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/17,593/8326
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 402,593
Greatest Common Factor of Numerators i.e. GCF of 402,593 is 1 .
LCM of Denominators means LCM of 17,8326 as per the given fractions.
LCM of 17,8326 is 141542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 402,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 402,593 . The biggest common factor number is the GCF number.
So the greatest common factor 402,593 is 1.
Lets's calculate LCM of 17,8326
Given numbers has no common factors except 1. So, there LCM is their product i.e 141542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141542
Therefore, the GCF of Fractions 402/17,593/8326 is 1/141542
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 17,8326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,8326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,8326) x common factors =1 x 1 = 1
LCM(17,8326) = ( 17 × 8326 ) / 1
LCM(17,8326) = 141542 / 1
LCM(17,8326) = 141542
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 402/17, 593/8326?
Answer: GCF of Numerators as per given numbers 402/17, 593/8326 is
GCF of Numerators i.e. for 402,593 is 1
LCM of denominators i.e. for 17,8326 is 141542.
Thus, GCF of Fractions is 1/141542.Finally, GCF of Fractions for 402/17, 593/8326 is 1/141542.