Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2593/888,7734/837
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 2593,7734
Greatest Common Factor of Numerators i.e. GCF of 2593,7734 is 1 .
LCM of Denominators means LCM of 888,837 as per the given fractions.
LCM of 888,837 is 247752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2593,7734
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2593
List of positive integer factors of 2593 that divides 2593 without a remainder.
1,2593
Factors of 7734
List of positive integer factors of 7734 that divides 7734 without a remainder.
1,2,3,6,1289,2578,3867,7734
Greatest Common Factor
We found the factors 2593,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 2593,7734 is 1.
Lets's calculate LCM of 888,837
3 | 888, 837 |
296, 279 |
∴ So the LCM of the given numbers is 3 x 296 x 279 = 247752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247752
Therefore, the GCF of Fractions 2593/888,7734/837 is 1/247752
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 888,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(888,837) x common factors =3 x 1 = 3
LCM(888,837) = ( 888 × 837 ) / 3
LCM(888,837) = 743256 / 3
LCM(888,837) = 247752
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 2593/888, 7734/837?
Answer: GCF of Numerators as per given numbers 2593/888, 7734/837 is
GCF of Numerators i.e. for 2593,7734 is 1
LCM of denominators i.e. for 888,837 is 247752.
Thus, GCF of Fractions is 1/247752.Finally, GCF of Fractions for 2593/888, 7734/837 is 1/247752.