Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7044/976,9487/4647
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 7044,9487
Greatest Common Factor of Numerators i.e. GCF of 7044,9487 is 1 .
LCM of Denominators means LCM of 976,4647 as per the given fractions.
LCM of 976,4647 is 4535472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7044,9487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7044
List of positive integer factors of 7044 that divides 7044 without a remainder.
1,2,3,4,6,12,587,1174,1761,2348,3522,7044
Factors of 9487
List of positive integer factors of 9487 that divides 9487 without a remainder.
1,53,179,9487
Greatest Common Factor
We found the factors 7044,9487 . The biggest common factor number is the GCF number.
So the greatest common factor 7044,9487 is 1.
Lets's calculate LCM of 976,4647
Given numbers has no common factors except 1. So, there LCM is their product i.e 4535472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4535472
Therefore, the GCF of Fractions 7044/976,9487/4647 is 1/4535472
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 976,4647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,4647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,4647) x common factors =1 x 1 = 1
LCM(976,4647) = ( 976 × 4647 ) / 1
LCM(976,4647) = 4535472 / 1
LCM(976,4647) = 4535472
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 7044/976, 9487/4647?
Answer: GCF of Numerators as per given numbers 7044/976, 9487/4647 is
GCF of Numerators i.e. for 7044,9487 is 1
LCM of denominators i.e. for 976,4647 is 4535472.
Thus, GCF of Fractions is 1/4535472.Finally, GCF of Fractions for 7044/976, 9487/4647 is 1/4535472.