Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2435/588,5468/498
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 2435,5468
Greatest Common Factor of Numerators i.e. GCF of 2435,5468 is 1 .
LCM of Denominators means LCM of 588,498 as per the given fractions.
LCM of 588,498 is 48804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2435,5468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2435
List of positive integer factors of 2435 that divides 2435 without a remainder.
1,5,487,2435
Factors of 5468
List of positive integer factors of 5468 that divides 5468 without a remainder.
1,2,4,1367,2734,5468
Greatest Common Factor
We found the factors 2435,5468 . The biggest common factor number is the GCF number.
So the greatest common factor 2435,5468 is 1.
Lets's calculate LCM of 588,498
2 | 588, 498 |
3 | 294, 249 |
98, 83 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 83 = 48804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48804
Therefore, the GCF of Fractions 2435/588,5468/498 is 1/48804
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 588,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,498) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(588,498) x common factors =6 x 1 = 6
LCM(588,498) = ( 588 × 498 ) / 6
LCM(588,498) = 292824 / 6
LCM(588,498) = 48804
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 2435/588, 5468/498?
Answer: GCF of Numerators as per given numbers 2435/588, 5468/498 is
GCF of Numerators i.e. for 2435,5468 is 1
LCM of denominators i.e. for 588,498 is 48804.
Thus, GCF of Fractions is 1/48804.Finally, GCF of Fractions for 2435/588, 5468/498 is 1/48804.