Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4480/89,3738/556
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 4480,3738
Greatest Common Factor of Numerators i.e. GCF of 4480,3738 is 14 .
LCM of Denominators means LCM of 89,556 as per the given fractions.
LCM of 89,556 is 49484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4480,3738
2 | 4480, 3738 |
7 | 2240, 1869 |
320, 267 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 4480
List of positive integer factors of 4480 that divides 4480 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Factors of 3738
List of positive integer factors of 3738 that divides 3738 without a remainder.
1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 4480,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,3738 is 14.
Lets's calculate LCM of 89,556
Given numbers has no common factors except 1. So, there LCM is their product i.e 49484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/49484
Therefore, the GCF of Fractions 4480/89,3738/556 is 14/49484
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 89,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,556) x common factors =1 x 1 = 1
LCM(89,556) = ( 89 × 556 ) / 1
LCM(89,556) = 49484 / 1
LCM(89,556) = 49484
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 4480/89, 3738/556?
Answer: GCF of Numerators as per given numbers 4480/89, 3738/556 is
GCF of Numerators i.e. for 4480,3738 is 14
LCM of denominators i.e. for 89,556 is 49484.
Thus, GCF of Fractions is 14/49484.Finally, GCF of Fractions for 4480/89, 3738/556 is 14/49484.