Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/31,1749/957
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 268,1749
Greatest Common Factor of Numerators i.e. GCF of 268,1749 is 1 .
LCM of Denominators means LCM of 31,957 as per the given fractions.
LCM of 31,957 is 29667 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,1749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 1749
List of positive integer factors of 1749 that divides 1749 without a remainder.
1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 268,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 268,1749 is 1.
Lets's calculate LCM of 31,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 29667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29667
Therefore, the GCF of Fractions 268/31,1749/957 is 1/29667
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 31,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,957) x common factors =1 x 1 = 1
LCM(31,957) = ( 31 × 957 ) / 1
LCM(31,957) = 29667 / 1
LCM(31,957) = 29667
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 268/31, 1749/957?
Answer: GCF of Numerators as per given numbers 268/31, 1749/957 is
GCF of Numerators i.e. for 268,1749 is 1
LCM of denominators i.e. for 31,957 is 29667.
Thus, GCF of Fractions is 1/29667.Finally, GCF of Fractions for 268/31, 1749/957 is 1/29667.