Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/318,9613/318
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 659,9613
Greatest Common Factor of Numerators i.e. GCF of 659,9613 is 1 .
LCM of Denominators means LCM of 318,318 as per the given fractions.
LCM of 318,318 is 318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 659,9613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 9613
List of positive integer factors of 9613 that divides 9613 without a remainder.
1,9613
Greatest Common Factor
We found the factors 659,9613 . The biggest common factor number is the GCF number.
So the greatest common factor 659,9613 is 1.
Lets's calculate LCM of 318,318
2 | 318, 318 |
3 | 159, 159 |
53 | 53, 53 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 1 x 1 = 318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318
Therefore, the GCF of Fractions 659/318,9613/318 is 1/318
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 318,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,318) = 318
common factors(in case of two or more numbers have common factors) = 1
GCF(318,318) x common factors =318 x 1 = 318
LCM(318,318) = ( 318 × 318 ) / 318
LCM(318,318) = 101124 / 318
LCM(318,318) = 318
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 659/318, 9613/318?
Answer: GCF of Numerators as per given numbers 659/318, 9613/318 is
GCF of Numerators i.e. for 659,9613 is 1
LCM of denominators i.e. for 318,318 is 318.
Thus, GCF of Fractions is 1/318.Finally, GCF of Fractions for 659/318, 9613/318 is 1/318.