Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6192/259,1055/3261
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 6192,1055
Greatest Common Factor of Numerators i.e. GCF of 6192,1055 is 1 .
LCM of Denominators means LCM of 259,3261 as per the given fractions.
LCM of 259,3261 is 844599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6192,1055
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6192
List of positive integer factors of 6192 that divides 6192 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Factors of 1055
List of positive integer factors of 1055 that divides 1055 without a remainder.
1,5,211,1055
Greatest Common Factor
We found the factors 6192,1055 . The biggest common factor number is the GCF number.
So the greatest common factor 6192,1055 is 1.
Lets's calculate LCM of 259,3261
Given numbers has no common factors except 1. So, there LCM is their product i.e 844599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844599
Therefore, the GCF of Fractions 6192/259,1055/3261 is 1/844599
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 259,3261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,3261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,3261) x common factors =1 x 1 = 1
LCM(259,3261) = ( 259 × 3261 ) / 1
LCM(259,3261) = 844599 / 1
LCM(259,3261) = 844599
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 6192/259, 1055/3261?
Answer: GCF of Numerators as per given numbers 6192/259, 1055/3261 is
GCF of Numerators i.e. for 6192,1055 is 1
LCM of denominators i.e. for 259,3261 is 844599.
Thus, GCF of Fractions is 1/844599.Finally, GCF of Fractions for 6192/259, 1055/3261 is 1/844599.