Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9081/607,1040/2861
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 9081,1040
Greatest Common Factor of Numerators i.e. GCF of 9081,1040 is 1 .
LCM of Denominators means LCM of 607,2861 as per the given fractions.
LCM of 607,2861 is 1736627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9081,1040
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9081
List of positive integer factors of 9081 that divides 9081 without a remainder.
1,3,9,1009,3027,9081
Factors of 1040
List of positive integer factors of 1040 that divides 1040 without a remainder.
1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 9081,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 9081,1040 is 1.
Lets's calculate LCM of 607,2861
Given numbers has no common factors except 1. So, there LCM is their product i.e 1736627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1736627
Therefore, the GCF of Fractions 9081/607,1040/2861 is 1/1736627
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 607,2861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,2861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,2861) x common factors =1 x 1 = 1
LCM(607,2861) = ( 607 × 2861 ) / 1
LCM(607,2861) = 1736627 / 1
LCM(607,2861) = 1736627
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 9081/607, 1040/2861?
Answer: GCF of Numerators as per given numbers 9081/607, 1040/2861 is
GCF of Numerators i.e. for 9081,1040 is 1
LCM of denominators i.e. for 607,2861 is 1736627.
Thus, GCF of Fractions is 1/1736627.Finally, GCF of Fractions for 9081/607, 1040/2861 is 1/1736627.