Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 767/817,2061/1281
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 767,2061
Greatest Common Factor of Numerators i.e. GCF of 767,2061 is 1 .
LCM of Denominators means LCM of 817,1281 as per the given fractions.
LCM of 817,1281 is 1046577 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 767,2061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 2061
List of positive integer factors of 2061 that divides 2061 without a remainder.
1,3,9,229,687,2061
Greatest Common Factor
We found the factors 767,2061 . The biggest common factor number is the GCF number.
So the greatest common factor 767,2061 is 1.
Lets's calculate LCM of 817,1281
Given numbers has no common factors except 1. So, there LCM is their product i.e 1046577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046577
Therefore, the GCF of Fractions 767/817,2061/1281 is 1/1046577
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 817,1281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,1281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,1281) x common factors =1 x 1 = 1
LCM(817,1281) = ( 817 × 1281 ) / 1
LCM(817,1281) = 1046577 / 1
LCM(817,1281) = 1046577
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 767/817, 2061/1281?
Answer: GCF of Numerators as per given numbers 767/817, 2061/1281 is
GCF of Numerators i.e. for 767,2061 is 1
LCM of denominators i.e. for 817,1281 is 1046577.
Thus, GCF of Fractions is 1/1046577.Finally, GCF of Fractions for 767/817, 2061/1281 is 1/1046577.