Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/135,1756/311
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 489,1756
Greatest Common Factor of Numerators i.e. GCF of 489,1756 is 1 .
LCM of Denominators means LCM of 135,311 as per the given fractions.
LCM of 135,311 is 41985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 489,1756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 1756
List of positive integer factors of 1756 that divides 1756 without a remainder.
1,2,4,439,878,1756
Greatest Common Factor
We found the factors 489,1756 . The biggest common factor number is the GCF number.
So the greatest common factor 489,1756 is 1.
Lets's calculate LCM of 135,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 41985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41985
Therefore, the GCF of Fractions 489/135,1756/311 is 1/41985
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 135,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,311) x common factors =1 x 1 = 1
LCM(135,311) = ( 135 × 311 ) / 1
LCM(135,311) = 41985 / 1
LCM(135,311) = 41985
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 489/135, 1756/311?
Answer: GCF of Numerators as per given numbers 489/135, 1756/311 is
GCF of Numerators i.e. for 489,1756 is 1
LCM of denominators i.e. for 135,311 is 41985.
Thus, GCF of Fractions is 1/41985.Finally, GCF of Fractions for 489/135, 1756/311 is 1/41985.