Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7976/817,6733/3733
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 7976,6733
Greatest Common Factor of Numerators i.e. GCF of 7976,6733 is 1 .
LCM of Denominators means LCM of 817,3733 as per the given fractions.
LCM of 817,3733 is 3049861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7976,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7976
List of positive integer factors of 7976 that divides 7976 without a remainder.
1,2,4,8,997,1994,3988,7976
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1,6733
Greatest Common Factor
We found the factors 7976,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 7976,6733 is 1.
Lets's calculate LCM of 817,3733
Given numbers has no common factors except 1. So, there LCM is their product i.e 3049861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3049861
Therefore, the GCF of Fractions 7976/817,6733/3733 is 1/3049861
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 817,3733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,3733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,3733) x common factors =1 x 1 = 1
LCM(817,3733) = ( 817 × 3733 ) / 1
LCM(817,3733) = 3049861 / 1
LCM(817,3733) = 3049861
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 7976/817, 6733/3733?
Answer: GCF of Numerators as per given numbers 7976/817, 6733/3733 is
GCF of Numerators i.e. for 7976,6733 is 1
LCM of denominators i.e. for 817,3733 is 3049861.
Thus, GCF of Fractions is 1/3049861.Finally, GCF of Fractions for 7976/817, 6733/3733 is 1/3049861.