Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5478/106,5417/462
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 5478,5417
Greatest Common Factor of Numerators i.e. GCF of 5478,5417 is 1 .
LCM of Denominators means LCM of 106,462 as per the given fractions.
LCM of 106,462 is 24486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5478,5417
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5478
List of positive integer factors of 5478 that divides 5478 without a remainder.
1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Factors of 5417
List of positive integer factors of 5417 that divides 5417 without a remainder.
1,5417
Greatest Common Factor
We found the factors 5478,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,5417 is 1.
Lets's calculate LCM of 106,462
2 | 106, 462 |
53, 231 |
∴ So the LCM of the given numbers is 2 x 53 x 231 = 24486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24486
Therefore, the GCF of Fractions 5478/106,5417/462 is 1/24486
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 106,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,462) x common factors =2 x 1 = 2
LCM(106,462) = ( 106 × 462 ) / 2
LCM(106,462) = 48972 / 2
LCM(106,462) = 24486
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 5478/106, 5417/462?
Answer: GCF of Numerators as per given numbers 5478/106, 5417/462 is
GCF of Numerators i.e. for 5478,5417 is 1
LCM of denominators i.e. for 106,462 is 24486.
Thus, GCF of Fractions is 1/24486.Finally, GCF of Fractions for 5478/106, 5417/462 is 1/24486.