Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2153/568,8882/125
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 2153,8882
Greatest Common Factor of Numerators i.e. GCF of 2153,8882 is 1 .
LCM of Denominators means LCM of 568,125 as per the given fractions.
LCM of 568,125 is 71000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2153,8882
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2153
List of positive integer factors of 2153 that divides 2153 without a remainder.
1,2153
Factors of 8882
List of positive integer factors of 8882 that divides 8882 without a remainder.
1,2,4441,8882
Greatest Common Factor
We found the factors 2153,8882 . The biggest common factor number is the GCF number.
So the greatest common factor 2153,8882 is 1.
Lets's calculate LCM of 568,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 71000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71000
Therefore, the GCF of Fractions 2153/568,8882/125 is 1/71000
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 568,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,125) x common factors =1 x 1 = 1
LCM(568,125) = ( 568 × 125 ) / 1
LCM(568,125) = 71000 / 1
LCM(568,125) = 71000
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 2153/568, 8882/125?
Answer: GCF of Numerators as per given numbers 2153/568, 8882/125 is
GCF of Numerators i.e. for 2153,8882 is 1
LCM of denominators i.e. for 568,125 is 71000.
Thus, GCF of Fractions is 1/71000.Finally, GCF of Fractions for 2153/568, 8882/125 is 1/71000.