Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1818/58,3260/558
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 1818,3260
Greatest Common Factor of Numerators i.e. GCF of 1818,3260 is 2 .
LCM of Denominators means LCM of 58,558 as per the given fractions.
LCM of 58,558 is 16182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1818,3260
2 | 1818, 3260 |
909, 1630 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1818
List of positive integer factors of 1818 that divides 1818 without a remainder.
1,2,3,6,9,18,101,202,303,606,909,1818
Factors of 3260
List of positive integer factors of 3260 that divides 3260 without a remainder.
1,2,4,5,10,20,163,326,652,815,1630,3260
Greatest Common Factor
We found the factors 1818,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 1818,3260 is 2.
Lets's calculate LCM of 58,558
2 | 58, 558 |
29, 279 |
∴ So the LCM of the given numbers is 2 x 29 x 279 = 16182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16182
Therefore, the GCF of Fractions 1818/58,3260/558 is 2/16182
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 58,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,558) x common factors =2 x 1 = 2
LCM(58,558) = ( 58 × 558 ) / 2
LCM(58,558) = 32364 / 2
LCM(58,558) = 16182
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 1818/58, 3260/558?
Answer: GCF of Numerators as per given numbers 1818/58, 3260/558 is
GCF of Numerators i.e. for 1818,3260 is 2
LCM of denominators i.e. for 58,558 is 16182.
Thus, GCF of Fractions is 2/16182.Finally, GCF of Fractions for 1818/58, 3260/558 is 2/16182.