Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/151,173/845
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 83,173
Greatest Common Factor of Numerators i.e. GCF of 83,173 is 1 .
LCM of Denominators means LCM of 151,845 as per the given fractions.
LCM of 151,845 is 127595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 83,173 . The biggest common factor number is the GCF number.
So the greatest common factor 83,173 is 1.
Lets's calculate LCM of 151,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 127595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127595
Therefore, the GCF of Fractions 83/151,173/845 is 1/127595
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 151,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,845) x common factors =1 x 1 = 1
LCM(151,845) = ( 151 × 845 ) / 1
LCM(151,845) = 127595 / 1
LCM(151,845) = 127595
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 83/151, 173/845?
Answer: GCF of Numerators as per given numbers 83/151, 173/845 is
GCF of Numerators i.e. for 83,173 is 1
LCM of denominators i.e. for 151,845 is 127595.
Thus, GCF of Fractions is 1/127595.Finally, GCF of Fractions for 83/151, 173/845 is 1/127595.