Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3468/437,3047/3134
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 3468,3047
Greatest Common Factor of Numerators i.e. GCF of 3468,3047 is 1 .
LCM of Denominators means LCM of 437,3134 as per the given fractions.
LCM of 437,3134 is 1369558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3468,3047
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3468
List of positive integer factors of 3468 that divides 3468 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Factors of 3047
List of positive integer factors of 3047 that divides 3047 without a remainder.
1,11,277,3047
Greatest Common Factor
We found the factors 3468,3047 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,3047 is 1.
Lets's calculate LCM of 437,3134
Given numbers has no common factors except 1. So, there LCM is their product i.e 1369558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369558
Therefore, the GCF of Fractions 3468/437,3047/3134 is 1/1369558
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 437,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,3134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,3134) x common factors =1 x 1 = 1
LCM(437,3134) = ( 437 × 3134 ) / 1
LCM(437,3134) = 1369558 / 1
LCM(437,3134) = 1369558
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 3468/437, 3047/3134?
Answer: GCF of Numerators as per given numbers 3468/437, 3047/3134 is
GCF of Numerators i.e. for 3468,3047 is 1
LCM of denominators i.e. for 437,3134 is 1369558.
Thus, GCF of Fractions is 1/1369558.Finally, GCF of Fractions for 3468/437, 3047/3134 is 1/1369558.