Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5444/229,1588/100
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 5444,1588
Greatest Common Factor of Numerators i.e. GCF of 5444,1588 is 4 .
LCM of Denominators means LCM of 229,100 as per the given fractions.
LCM of 229,100 is 22900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5444,1588
2 | 5444, 1588 |
2 | 2722, 794 |
1361, 397 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5444
List of positive integer factors of 5444 that divides 5444 without a remainder.
1,2,4,1361,2722,5444
Factors of 1588
List of positive integer factors of 1588 that divides 1588 without a remainder.
1,2,4,397,794,1588
Greatest Common Factor
We found the factors 5444,1588 . The biggest common factor number is the GCF number.
So the greatest common factor 5444,1588 is 4.
Lets's calculate LCM of 229,100
Given numbers has no common factors except 1. So, there LCM is their product i.e 22900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/22900
Therefore, the GCF of Fractions 5444/229,1588/100 is 4/22900
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 229,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,100) x common factors =1 x 1 = 1
LCM(229,100) = ( 229 × 100 ) / 1
LCM(229,100) = 22900 / 1
LCM(229,100) = 22900
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 5444/229, 1588/100?
Answer: GCF of Numerators as per given numbers 5444/229, 1588/100 is
GCF of Numerators i.e. for 5444,1588 is 4
LCM of denominators i.e. for 229,100 is 22900.
Thus, GCF of Fractions is 4/22900.Finally, GCF of Fractions for 5444/229, 1588/100 is 4/22900.