Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1717/57,2832/677
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 1717,2832
Greatest Common Factor of Numerators i.e. GCF of 1717,2832 is 1 .
LCM of Denominators means LCM of 57,677 as per the given fractions.
LCM of 57,677 is 38589 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1717,2832
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1717
List of positive integer factors of 1717 that divides 1717 without a remainder.
1,17,101,1717
Factors of 2832
List of positive integer factors of 2832 that divides 2832 without a remainder.
1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Greatest Common Factor
We found the factors 1717,2832 . The biggest common factor number is the GCF number.
So the greatest common factor 1717,2832 is 1.
Lets's calculate LCM of 57,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 38589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38589
Therefore, the GCF of Fractions 1717/57,2832/677 is 1/38589
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 57,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,677) x common factors =1 x 1 = 1
LCM(57,677) = ( 57 × 677 ) / 1
LCM(57,677) = 38589 / 1
LCM(57,677) = 38589
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 1717/57, 2832/677?
Answer: GCF of Numerators as per given numbers 1717/57, 2832/677 is
GCF of Numerators i.e. for 1717,2832 is 1
LCM of denominators i.e. for 57,677 is 38589.
Thus, GCF of Fractions is 1/38589.Finally, GCF of Fractions for 1717/57, 2832/677 is 1/38589.