Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 798/589,924/302,443/637
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 798,924,443
Greatest Common Factor of Numerators i.e. GCF of 798,924,443 is 1 .
LCM of Denominators means LCM of 589,302,637 as per the given fractions.
LCM of 589,302,637 is 113308286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 798,924,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 798,924,443 . The biggest common factor number is the GCF number.
So the greatest common factor 798,924,443 is 1.
Lets's calculate LCM of 589,302,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 113308286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113308286
Therefore, the GCF of Fractions 798/589,924/302,443/637 is 1/113308286
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 589,302,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,302,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,302,637) x common factors =1 x 1 = 1
LCM(589,302,637) = ( 589 × 302 × 637 ) / 1
LCM(589,302,637) = 113308286 / 1
LCM(589,302,637) = 113308286
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 798/589, 924/302, 443/637?
Answer: GCF of Numerators as per given numbers 798/589, 924/302, 443/637 is
GCF of Numerators i.e. for 798,924,443 is 1
LCM of denominators i.e. for 589,302,637 is 113308286.
Thus, GCF of Fractions is 1/113308286.Finally, GCF of Fractions for 798/589, 924/302, 443/637 is 1/113308286.