Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7037/764,5651/9299
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 7037,5651
Greatest Common Factor of Numerators i.e. GCF of 7037,5651 is 1 .
LCM of Denominators means LCM of 764,9299 as per the given fractions.
LCM of 764,9299 is 7104436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7037,5651
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7037
List of positive integer factors of 7037 that divides 7037 without a remainder.
1,31,227,7037
Factors of 5651
List of positive integer factors of 5651 that divides 5651 without a remainder.
1,5651
Greatest Common Factor
We found the factors 7037,5651 . The biggest common factor number is the GCF number.
So the greatest common factor 7037,5651 is 1.
Lets's calculate LCM of 764,9299
Given numbers has no common factors except 1. So, there LCM is their product i.e 7104436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7104436
Therefore, the GCF of Fractions 7037/764,5651/9299 is 1/7104436
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 764,9299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9299) x common factors =1 x 1 = 1
LCM(764,9299) = ( 764 × 9299 ) / 1
LCM(764,9299) = 7104436 / 1
LCM(764,9299) = 7104436
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 7037/764, 5651/9299?
Answer: GCF of Numerators as per given numbers 7037/764, 5651/9299 is
GCF of Numerators i.e. for 7037,5651 is 1
LCM of denominators i.e. for 764,9299 is 7104436.
Thus, GCF of Fractions is 1/7104436.Finally, GCF of Fractions for 7037/764, 5651/9299 is 1/7104436.