Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7609/537,6822/4432
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 7609,6822
Greatest Common Factor of Numerators i.e. GCF of 7609,6822 is 1 .
LCM of Denominators means LCM of 537,4432 as per the given fractions.
LCM of 537,4432 is 2379984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7609,6822
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7609
List of positive integer factors of 7609 that divides 7609 without a remainder.
1,7,1087,7609
Factors of 6822
List of positive integer factors of 6822 that divides 6822 without a remainder.
1,2,3,6,9,18,379,758,1137,2274,3411,6822
Greatest Common Factor
We found the factors 7609,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 7609,6822 is 1.
Lets's calculate LCM of 537,4432
Given numbers has no common factors except 1. So, there LCM is their product i.e 2379984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2379984
Therefore, the GCF of Fractions 7609/537,6822/4432 is 1/2379984
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 537,4432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,4432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,4432) x common factors =1 x 1 = 1
LCM(537,4432) = ( 537 × 4432 ) / 1
LCM(537,4432) = 2379984 / 1
LCM(537,4432) = 2379984
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 7609/537, 6822/4432?
Answer: GCF of Numerators as per given numbers 7609/537, 6822/4432 is
GCF of Numerators i.e. for 7609,6822 is 1
LCM of denominators i.e. for 537,4432 is 2379984.
Thus, GCF of Fractions is 1/2379984.Finally, GCF of Fractions for 7609/537, 6822/4432 is 1/2379984.