Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/816,6364/7529
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 389,6364
Greatest Common Factor of Numerators i.e. GCF of 389,6364 is 1 .
LCM of Denominators means LCM of 816,7529 as per the given fractions.
LCM of 816,7529 is 6143664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 389,6364
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 6364
List of positive integer factors of 6364 that divides 6364 without a remainder.
1,2,4,37,43,74,86,148,172,1591,3182,6364
Greatest Common Factor
We found the factors 389,6364 . The biggest common factor number is the GCF number.
So the greatest common factor 389,6364 is 1.
Lets's calculate LCM of 816,7529
Given numbers has no common factors except 1. So, there LCM is their product i.e 6143664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6143664
Therefore, the GCF of Fractions 389/816,6364/7529 is 1/6143664
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 816,7529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,7529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,7529) x common factors =1 x 1 = 1
LCM(816,7529) = ( 816 × 7529 ) / 1
LCM(816,7529) = 6143664 / 1
LCM(816,7529) = 6143664
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 389/816, 6364/7529?
Answer: GCF of Numerators as per given numbers 389/816, 6364/7529 is
GCF of Numerators i.e. for 389,6364 is 1
LCM of denominators i.e. for 816,7529 is 6143664.
Thus, GCF of Fractions is 1/6143664.Finally, GCF of Fractions for 389/816, 6364/7529 is 1/6143664.