Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/809,9044/533
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 769,9044
Greatest Common Factor of Numerators i.e. GCF of 769,9044 is 1 .
LCM of Denominators means LCM of 809,533 as per the given fractions.
LCM of 809,533 is 431197 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,9044
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 9044
List of positive integer factors of 9044 that divides 9044 without a remainder.
1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044
Greatest Common Factor
We found the factors 769,9044 . The biggest common factor number is the GCF number.
So the greatest common factor 769,9044 is 1.
Lets's calculate LCM of 809,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 431197
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431197
Therefore, the GCF of Fractions 769/809,9044/533 is 1/431197
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 809,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,533) x common factors =1 x 1 = 1
LCM(809,533) = ( 809 × 533 ) / 1
LCM(809,533) = 431197 / 1
LCM(809,533) = 431197
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 769/809, 9044/533?
Answer: GCF of Numerators as per given numbers 769/809, 9044/533 is
GCF of Numerators i.e. for 769,9044 is 1
LCM of denominators i.e. for 809,533 is 431197.
Thus, GCF of Fractions is 1/431197.Finally, GCF of Fractions for 769/809, 9044/533 is 1/431197.