Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1804/25,5665/190
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 1804,5665
Greatest Common Factor of Numerators i.e. GCF of 1804,5665 is 11 .
LCM of Denominators means LCM of 25,190 as per the given fractions.
LCM of 25,190 is 950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1804,5665
11 | 1804, 5665 |
164, 515 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1,2,4,11,22,41,44,82,164,451,902,1804
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1,5,11,55,103,515,1133,5665
Greatest Common Factor
We found the factors 1804,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 1804,5665 is 11.
Lets's calculate LCM of 25,190
5 | 25, 190 |
5, 38 |
∴ So the LCM of the given numbers is 5 x 5 x 38 = 950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/950
Therefore, the GCF of Fractions 1804/25,5665/190 is 11/950
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 25,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,190) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,190) x common factors =5 x 1 = 5
LCM(25,190) = ( 25 × 190 ) / 5
LCM(25,190) = 4750 / 5
LCM(25,190) = 950
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 1804/25, 5665/190?
Answer: GCF of Numerators as per given numbers 1804/25, 5665/190 is
GCF of Numerators i.e. for 1804,5665 is 11
LCM of denominators i.e. for 25,190 is 950.
Thus, GCF of Fractions is 11/950.Finally, GCF of Fractions for 1804/25, 5665/190 is 11/950.