Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8023/52,2798/995
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 8023,2798
Greatest Common Factor of Numerators i.e. GCF of 8023,2798 is 1 .
LCM of Denominators means LCM of 52,995 as per the given fractions.
LCM of 52,995 is 51740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8023,2798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8023
List of positive integer factors of 8023 that divides 8023 without a remainder.
1,71,113,8023
Factors of 2798
List of positive integer factors of 2798 that divides 2798 without a remainder.
1,2,1399,2798
Greatest Common Factor
We found the factors 8023,2798 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,2798 is 1.
Lets's calculate LCM of 52,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 51740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51740
Therefore, the GCF of Fractions 8023/52,2798/995 is 1/51740
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 52,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,995) x common factors =1 x 1 = 1
LCM(52,995) = ( 52 × 995 ) / 1
LCM(52,995) = 51740 / 1
LCM(52,995) = 51740
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 8023/52, 2798/995?
Answer: GCF of Numerators as per given numbers 8023/52, 2798/995 is
GCF of Numerators i.e. for 8023,2798 is 1
LCM of denominators i.e. for 52,995 is 51740.
Thus, GCF of Fractions is 1/51740.Finally, GCF of Fractions for 8023/52, 2798/995 is 1/51740.