Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9064/853,5581/9536
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 9064,5581
Greatest Common Factor of Numerators i.e. GCF of 9064,5581 is 1 .
LCM of Denominators means LCM of 853,9536 as per the given fractions.
LCM of 853,9536 is 8134208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9064,5581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9064
List of positive integer factors of 9064 that divides 9064 without a remainder.
1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064
Factors of 5581
List of positive integer factors of 5581 that divides 5581 without a remainder.
1,5581
Greatest Common Factor
We found the factors 9064,5581 . The biggest common factor number is the GCF number.
So the greatest common factor 9064,5581 is 1.
Lets's calculate LCM of 853,9536
Given numbers has no common factors except 1. So, there LCM is their product i.e 8134208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8134208
Therefore, the GCF of Fractions 9064/853,5581/9536 is 1/8134208
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 853,9536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,9536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,9536) x common factors =1 x 1 = 1
LCM(853,9536) = ( 853 × 9536 ) / 1
LCM(853,9536) = 8134208 / 1
LCM(853,9536) = 8134208
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 9064/853, 5581/9536?
Answer: GCF of Numerators as per given numbers 9064/853, 5581/9536 is
GCF of Numerators i.e. for 9064,5581 is 1
LCM of denominators i.e. for 853,9536 is 8134208.
Thus, GCF of Fractions is 1/8134208.Finally, GCF of Fractions for 9064/853, 5581/9536 is 1/8134208.