Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8910/799,4030/4007
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 8910,4030
Greatest Common Factor of Numerators i.e. GCF of 8910,4030 is 10 .
LCM of Denominators means LCM of 799,4007 as per the given fractions.
LCM of 799,4007 is 3201593 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8910,4030
2 | 8910, 4030 |
5 | 4455, 2015 |
891, 403 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 8910
List of positive integer factors of 8910 that divides 8910 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Factors of 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Greatest Common Factor
We found the factors 8910,4030 . The biggest common factor number is the GCF number.
So the greatest common factor 8910,4030 is 10.
Lets's calculate LCM of 799,4007
Given numbers has no common factors except 1. So, there LCM is their product i.e 3201593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3201593
Therefore, the GCF of Fractions 8910/799,4030/4007 is 10/3201593
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 799,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,4007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,4007) x common factors =1 x 1 = 1
LCM(799,4007) = ( 799 × 4007 ) / 1
LCM(799,4007) = 3201593 / 1
LCM(799,4007) = 3201593
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 8910/799, 4030/4007?
Answer: GCF of Numerators as per given numbers 8910/799, 4030/4007 is
GCF of Numerators i.e. for 8910,4030 is 10
LCM of denominators i.e. for 799,4007 is 3201593.
Thus, GCF of Fractions is 10/3201593.Finally, GCF of Fractions for 8910/799, 4030/4007 is 10/3201593.