Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/25,993/8217
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 175,993
Greatest Common Factor of Numerators i.e. GCF of 175,993 is 1 .
LCM of Denominators means LCM of 25,8217 as per the given fractions.
LCM of 25,8217 is 205425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 175,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 175,993 . The biggest common factor number is the GCF number.
So the greatest common factor 175,993 is 1.
Lets's calculate LCM of 25,8217
Given numbers has no common factors except 1. So, there LCM is their product i.e 205425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205425
Therefore, the GCF of Fractions 175/25,993/8217 is 1/205425
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 25,8217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,8217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,8217) x common factors =1 x 1 = 1
LCM(25,8217) = ( 25 × 8217 ) / 1
LCM(25,8217) = 205425 / 1
LCM(25,8217) = 205425
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 175/25, 993/8217?
Answer: GCF of Numerators as per given numbers 175/25, 993/8217 is
GCF of Numerators i.e. for 175,993 is 1
LCM of denominators i.e. for 25,8217 is 205425.
Thus, GCF of Fractions is 1/205425.Finally, GCF of Fractions for 175/25, 993/8217 is 1/205425.