Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2465/20,5921/486
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 2465,5921
Greatest Common Factor of Numerators i.e. GCF of 2465,5921 is 1 .
LCM of Denominators means LCM of 20,486 as per the given fractions.
LCM of 20,486 is 4860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2465,5921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2465
List of positive integer factors of 2465 that divides 2465 without a remainder.
1,5,17,29,85,145,493,2465
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1,31,191,5921
Greatest Common Factor
We found the factors 2465,5921 . The biggest common factor number is the GCF number.
So the greatest common factor 2465,5921 is 1.
Lets's calculate LCM of 20,486
2 | 20, 486 |
10, 243 |
∴ So the LCM of the given numbers is 2 x 10 x 243 = 4860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4860
Therefore, the GCF of Fractions 2465/20,5921/486 is 1/4860
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 20,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,486) x common factors =2 x 1 = 2
LCM(20,486) = ( 20 × 486 ) / 2
LCM(20,486) = 9720 / 2
LCM(20,486) = 4860
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 2465/20, 5921/486?
Answer: GCF of Numerators as per given numbers 2465/20, 5921/486 is
GCF of Numerators i.e. for 2465,5921 is 1
LCM of denominators i.e. for 20,486 is 4860.
Thus, GCF of Fractions is 1/4860.Finally, GCF of Fractions for 2465/20, 5921/486 is 1/4860.