Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 783/26,1339/827
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 783,1339
Greatest Common Factor of Numerators i.e. GCF of 783,1339 is 1 .
LCM of Denominators means LCM of 26,827 as per the given fractions.
LCM of 26,827 is 21502 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 783,1339
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 1339
List of positive integer factors of 1339 that divides 1339 without a remainder.
1,13,103,1339
Greatest Common Factor
We found the factors 783,1339 . The biggest common factor number is the GCF number.
So the greatest common factor 783,1339 is 1.
Lets's calculate LCM of 26,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 21502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21502
Therefore, the GCF of Fractions 783/26,1339/827 is 1/21502
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 26,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,827) x common factors =1 x 1 = 1
LCM(26,827) = ( 26 × 827 ) / 1
LCM(26,827) = 21502 / 1
LCM(26,827) = 21502
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 783/26, 1339/827?
Answer: GCF of Numerators as per given numbers 783/26, 1339/827 is
GCF of Numerators i.e. for 783,1339 is 1
LCM of denominators i.e. for 26,827 is 21502.
Thus, GCF of Fractions is 1/21502.Finally, GCF of Fractions for 783/26, 1339/827 is 1/21502.