Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/730,395/780,256/365
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 424,395,256
Greatest Common Factor of Numerators i.e. GCF of 424,395,256 is 1 .
LCM of Denominators means LCM of 730,780,365 as per the given fractions.
LCM of 730,780,365 is 56940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,395,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 424,395,256 . The biggest common factor number is the GCF number.
So the greatest common factor 424,395,256 is 1.
Lets's calculate LCM of 730,780,365
2 | 730, 780, 365 |
5 | 365, 390, 365 |
73 | 73, 78, 73 |
1, 78, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 73 x 1 x 78 x 1 = 56940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56940
Therefore, the GCF of Fractions 424/730,395/780,256/365 is 1/56940
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 730,780,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,780,365) = 5
common factors(in case of two or more numbers have common factors) = 730
GCF(730,780,365) x common factors =5 x 730 = 3650
LCM(730,780,365) = ( 730 × 780 × 365 ) / 3650
LCM(730,780,365) = 207831000 / 3650
LCM(730,780,365) = 56940
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 424/730, 395/780, 256/365?
Answer: GCF of Numerators as per given numbers 424/730, 395/780, 256/365 is
GCF of Numerators i.e. for 424,395,256 is 1
LCM of denominators i.e. for 730,780,365 is 56940.
Thus, GCF of Fractions is 1/56940.Finally, GCF of Fractions for 424/730, 395/780, 256/365 is 1/56940.