Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6497/78,3735/582
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 6497,3735
Greatest Common Factor of Numerators i.e. GCF of 6497,3735 is 1 .
LCM of Denominators means LCM of 78,582 as per the given fractions.
LCM of 78,582 is 7566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6497,3735
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6497
List of positive integer factors of 6497 that divides 6497 without a remainder.
1,73,89,6497
Factors of 3735
List of positive integer factors of 3735 that divides 3735 without a remainder.
1,3,5,9,15,45,83,249,415,747,1245,3735
Greatest Common Factor
We found the factors 6497,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 6497,3735 is 1.
Lets's calculate LCM of 78,582
2 | 78, 582 |
3 | 39, 291 |
13, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 97 = 7566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7566
Therefore, the GCF of Fractions 6497/78,3735/582 is 1/7566
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 78,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,582) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,582) x common factors =6 x 1 = 6
LCM(78,582) = ( 78 × 582 ) / 6
LCM(78,582) = 45396 / 6
LCM(78,582) = 7566
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 6497/78, 3735/582?
Answer: GCF of Numerators as per given numbers 6497/78, 3735/582 is
GCF of Numerators i.e. for 6497,3735 is 1
LCM of denominators i.e. for 78,582 is 7566.
Thus, GCF of Fractions is 1/7566.Finally, GCF of Fractions for 6497/78, 3735/582 is 1/7566.