Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/24,6492/803
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 595,6492
Greatest Common Factor of Numerators i.e. GCF of 595,6492 is 1 .
LCM of Denominators means LCM of 24,803 as per the given fractions.
LCM of 24,803 is 19272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,6492
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 6492
List of positive integer factors of 6492 that divides 6492 without a remainder.
1,2,3,4,6,12,541,1082,1623,2164,3246,6492
Greatest Common Factor
We found the factors 595,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 595,6492 is 1.
Lets's calculate LCM of 24,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 19272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19272
Therefore, the GCF of Fractions 595/24,6492/803 is 1/19272
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 24,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,803) x common factors =1 x 1 = 1
LCM(24,803) = ( 24 × 803 ) / 1
LCM(24,803) = 19272 / 1
LCM(24,803) = 19272
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 595/24, 6492/803?
Answer: GCF of Numerators as per given numbers 595/24, 6492/803 is
GCF of Numerators i.e. for 595,6492 is 1
LCM of denominators i.e. for 24,803 is 19272.
Thus, GCF of Fractions is 1/19272.Finally, GCF of Fractions for 595/24, 6492/803 is 1/19272.