Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7264/663,2593/7780
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 7264,2593
Greatest Common Factor of Numerators i.e. GCF of 7264,2593 is 1 .
LCM of Denominators means LCM of 663,7780 as per the given fractions.
LCM of 663,7780 is 5158140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7264,2593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7264
List of positive integer factors of 7264 that divides 7264 without a remainder.
1,2,4,8,16,32,227,454,908,1816,3632,7264
Factors of 2593
List of positive integer factors of 2593 that divides 2593 without a remainder.
1,2593
Greatest Common Factor
We found the factors 7264,2593 . The biggest common factor number is the GCF number.
So the greatest common factor 7264,2593 is 1.
Lets's calculate LCM of 663,7780
Given numbers has no common factors except 1. So, there LCM is their product i.e 5158140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5158140
Therefore, the GCF of Fractions 7264/663,2593/7780 is 1/5158140
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 663,7780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,7780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,7780) x common factors =1 x 1 = 1
LCM(663,7780) = ( 663 × 7780 ) / 1
LCM(663,7780) = 5158140 / 1
LCM(663,7780) = 5158140
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 7264/663, 2593/7780?
Answer: GCF of Numerators as per given numbers 7264/663, 2593/7780 is
GCF of Numerators i.e. for 7264,2593 is 1
LCM of denominators i.e. for 663,7780 is 5158140.
Thus, GCF of Fractions is 1/5158140.Finally, GCF of Fractions for 7264/663, 2593/7780 is 1/5158140.