Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/729,1312/626
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 839,1312
Greatest Common Factor of Numerators i.e. GCF of 839,1312 is 1 .
LCM of Denominators means LCM of 729,626 as per the given fractions.
LCM of 729,626 is 456354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,1312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 1312
List of positive integer factors of 1312 that divides 1312 without a remainder.
1,2,4,8,16,32,41,82,164,328,656,1312
Greatest Common Factor
We found the factors 839,1312 . The biggest common factor number is the GCF number.
So the greatest common factor 839,1312 is 1.
Lets's calculate LCM of 729,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 456354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456354
Therefore, the GCF of Fractions 839/729,1312/626 is 1/456354
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 729,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,626) x common factors =1 x 1 = 1
LCM(729,626) = ( 729 × 626 ) / 1
LCM(729,626) = 456354 / 1
LCM(729,626) = 456354
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 839/729, 1312/626?
Answer: GCF of Numerators as per given numbers 839/729, 1312/626 is
GCF of Numerators i.e. for 839,1312 is 1
LCM of denominators i.e. for 729,626 is 456354.
Thus, GCF of Fractions is 1/456354.Finally, GCF of Fractions for 839/729, 1312/626 is 1/456354.