Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1483/959,8904/4760
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 1483,8904
Greatest Common Factor of Numerators i.e. GCF of 1483,8904 is 1 .
LCM of Denominators means LCM of 959,4760 as per the given fractions.
LCM of 959,4760 is 652120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1483,8904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1483
List of positive integer factors of 1483 that divides 1483 without a remainder.
1,1483
Factors of 8904
List of positive integer factors of 8904 that divides 8904 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904
Greatest Common Factor
We found the factors 1483,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,8904 is 1.
Lets's calculate LCM of 959,4760
7 | 959, 4760 |
137, 680 |
∴ So the LCM of the given numbers is 7 x 137 x 680 = 652120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652120
Therefore, the GCF of Fractions 1483/959,8904/4760 is 1/652120
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 959,4760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,4760) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(959,4760) x common factors =7 x 1 = 7
LCM(959,4760) = ( 959 × 4760 ) / 7
LCM(959,4760) = 4564840 / 7
LCM(959,4760) = 652120
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 1483/959, 8904/4760?
Answer: GCF of Numerators as per given numbers 1483/959, 8904/4760 is
GCF of Numerators i.e. for 1483,8904 is 1
LCM of denominators i.e. for 959,4760 is 652120.
Thus, GCF of Fractions is 1/652120.Finally, GCF of Fractions for 1483/959, 8904/4760 is 1/652120.