Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7290/15,4602/973
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 7290,4602
Greatest Common Factor of Numerators i.e. GCF of 7290,4602 is 6 .
LCM of Denominators means LCM of 15,973 as per the given fractions.
LCM of 15,973 is 14595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7290,4602
2 | 7290, 4602 |
3 | 3645, 2301 |
1215, 767 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7290
List of positive integer factors of 7290 that divides 7290 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 7290,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 7290,4602 is 6.
Lets's calculate LCM of 15,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 14595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14595
Therefore, the GCF of Fractions 7290/15,4602/973 is 6/14595
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 15,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,973) x common factors =1 x 1 = 1
LCM(15,973) = ( 15 × 973 ) / 1
LCM(15,973) = 14595 / 1
LCM(15,973) = 14595
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 7290/15, 4602/973?
Answer: GCF of Numerators as per given numbers 7290/15, 4602/973 is
GCF of Numerators i.e. for 7290,4602 is 6
LCM of denominators i.e. for 15,973 is 14595.
Thus, GCF of Fractions is 6/14595.Finally, GCF of Fractions for 7290/15, 4602/973 is 6/14595.