Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 958/481,2715/319
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 958,2715
Greatest Common Factor of Numerators i.e. GCF of 958,2715 is 1 .
LCM of Denominators means LCM of 481,319 as per the given fractions.
LCM of 481,319 is 153439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 958,2715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 2715
List of positive integer factors of 2715 that divides 2715 without a remainder.
1,3,5,15,181,543,905,2715
Greatest Common Factor
We found the factors 958,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 958,2715 is 1.
Lets's calculate LCM of 481,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 153439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153439
Therefore, the GCF of Fractions 958/481,2715/319 is 1/153439
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 481,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,319) x common factors =1 x 1 = 1
LCM(481,319) = ( 481 × 319 ) / 1
LCM(481,319) = 153439 / 1
LCM(481,319) = 153439
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 958/481, 2715/319?
Answer: GCF of Numerators as per given numbers 958/481, 2715/319 is
GCF of Numerators i.e. for 958,2715 is 1
LCM of denominators i.e. for 481,319 is 153439.
Thus, GCF of Fractions is 1/153439.Finally, GCF of Fractions for 958/481, 2715/319 is 1/153439.