Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1812/534,6709/8549
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 1812,6709
Greatest Common Factor of Numerators i.e. GCF of 1812,6709 is 1 .
LCM of Denominators means LCM of 534,8549 as per the given fractions.
LCM of 534,8549 is 4565166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1812,6709
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1812
List of positive integer factors of 1812 that divides 1812 without a remainder.
1,2,3,4,6,12,151,302,453,604,906,1812
Factors of 6709
List of positive integer factors of 6709 that divides 6709 without a remainder.
1,6709
Greatest Common Factor
We found the factors 1812,6709 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,6709 is 1.
Lets's calculate LCM of 534,8549
Given numbers has no common factors except 1. So, there LCM is their product i.e 4565166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4565166
Therefore, the GCF of Fractions 1812/534,6709/8549 is 1/4565166
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 534,8549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,8549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,8549) x common factors =1 x 1 = 1
LCM(534,8549) = ( 534 × 8549 ) / 1
LCM(534,8549) = 4565166 / 1
LCM(534,8549) = 4565166
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 1812/534, 6709/8549?
Answer: GCF of Numerators as per given numbers 1812/534, 6709/8549 is
GCF of Numerators i.e. for 1812,6709 is 1
LCM of denominators i.e. for 534,8549 is 4565166.
Thus, GCF of Fractions is 1/4565166.Finally, GCF of Fractions for 1812/534, 6709/8549 is 1/4565166.