Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2426/46,6014/563
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 2426,6014
Greatest Common Factor of Numerators i.e. GCF of 2426,6014 is 2 .
LCM of Denominators means LCM of 46,563 as per the given fractions.
LCM of 46,563 is 25898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2426,6014
2 | 2426, 6014 |
1213, 3007 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2426
List of positive integer factors of 2426 that divides 2426 without a remainder.
1,2,1213,2426
Factors of 6014
List of positive integer factors of 6014 that divides 6014 without a remainder.
1,2,31,62,97,194,3007,6014
Greatest Common Factor
We found the factors 2426,6014 . The biggest common factor number is the GCF number.
So the greatest common factor 2426,6014 is 2.
Lets's calculate LCM of 46,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 25898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25898
Therefore, the GCF of Fractions 2426/46,6014/563 is 2/25898
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 46,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,563) x common factors =1 x 1 = 1
LCM(46,563) = ( 46 × 563 ) / 1
LCM(46,563) = 25898 / 1
LCM(46,563) = 25898
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 2426/46, 6014/563?
Answer: GCF of Numerators as per given numbers 2426/46, 6014/563 is
GCF of Numerators i.e. for 2426,6014 is 2
LCM of denominators i.e. for 46,563 is 25898.
Thus, GCF of Fractions is 2/25898.Finally, GCF of Fractions for 2426/46, 6014/563 is 2/25898.