Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/438,4028/379
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 568,4028
Greatest Common Factor of Numerators i.e. GCF of 568,4028 is 4 .
LCM of Denominators means LCM of 438,379 as per the given fractions.
LCM of 438,379 is 166002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,4028
2 | 568, 4028 |
2 | 284, 2014 |
142, 1007 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 4028
List of positive integer factors of 4028 that divides 4028 without a remainder.
1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 568,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 568,4028 is 4.
Lets's calculate LCM of 438,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 166002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/166002
Therefore, the GCF of Fractions 568/438,4028/379 is 4/166002
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 438,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,379) x common factors =1 x 1 = 1
LCM(438,379) = ( 438 × 379 ) / 1
LCM(438,379) = 166002 / 1
LCM(438,379) = 166002
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 568/438, 4028/379?
Answer: GCF of Numerators as per given numbers 568/438, 4028/379 is
GCF of Numerators i.e. for 568,4028 is 4
LCM of denominators i.e. for 438,379 is 166002.
Thus, GCF of Fractions is 4/166002.Finally, GCF of Fractions for 568/438, 4028/379 is 4/166002.