Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5145/884,8080/3561
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 5145,8080
Greatest Common Factor of Numerators i.e. GCF of 5145,8080 is 5 .
LCM of Denominators means LCM of 884,3561 as per the given fractions.
LCM of 884,3561 is 3147924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5145,8080
5 | 5145, 8080 |
1029, 1616 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5145
List of positive integer factors of 5145 that divides 5145 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145
Factors of 8080
List of positive integer factors of 8080 that divides 8080 without a remainder.
1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Greatest Common Factor
We found the factors 5145,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 5145,8080 is 5.
Lets's calculate LCM of 884,3561
Given numbers has no common factors except 1. So, there LCM is their product i.e 3147924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3147924
Therefore, the GCF of Fractions 5145/884,8080/3561 is 5/3147924
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 884,3561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,3561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,3561) x common factors =1 x 1 = 1
LCM(884,3561) = ( 884 × 3561 ) / 1
LCM(884,3561) = 3147924 / 1
LCM(884,3561) = 3147924
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 5145/884, 8080/3561?
Answer: GCF of Numerators as per given numbers 5145/884, 8080/3561 is
GCF of Numerators i.e. for 5145,8080 is 5
LCM of denominators i.e. for 884,3561 is 3147924.
Thus, GCF of Fractions is 5/3147924.Finally, GCF of Fractions for 5145/884, 8080/3561 is 5/3147924.