Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/184,163/685
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 315,163
Greatest Common Factor of Numerators i.e. GCF of 315,163 is 1 .
LCM of Denominators means LCM of 184,685 as per the given fractions.
LCM of 184,685 is 126040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 315,163 . The biggest common factor number is the GCF number.
So the greatest common factor 315,163 is 1.
Lets's calculate LCM of 184,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 126040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126040
Therefore, the GCF of Fractions 315/184,163/685 is 1/126040
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 184,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,685) x common factors =1 x 1 = 1
LCM(184,685) = ( 184 × 685 ) / 1
LCM(184,685) = 126040 / 1
LCM(184,685) = 126040
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 315/184, 163/685?
Answer: GCF of Numerators as per given numbers 315/184, 163/685 is
GCF of Numerators i.e. for 315,163 is 1
LCM of denominators i.e. for 184,685 is 126040.
Thus, GCF of Fractions is 1/126040.Finally, GCF of Fractions for 315/184, 163/685 is 1/126040.