Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7183/81,7515/500
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 7183,7515
Greatest Common Factor of Numerators i.e. GCF of 7183,7515 is 1 .
LCM of Denominators means LCM of 81,500 as per the given fractions.
LCM of 81,500 is 40500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7183,7515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7183
List of positive integer factors of 7183 that divides 7183 without a remainder.
1,11,653,7183
Factors of 7515
List of positive integer factors of 7515 that divides 7515 without a remainder.
1,3,5,9,15,45,167,501,835,1503,2505,7515
Greatest Common Factor
We found the factors 7183,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 7183,7515 is 1.
Lets's calculate LCM of 81,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 40500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40500
Therefore, the GCF of Fractions 7183/81,7515/500 is 1/40500
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 81,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,500) x common factors =1 x 1 = 1
LCM(81,500) = ( 81 × 500 ) / 1
LCM(81,500) = 40500 / 1
LCM(81,500) = 40500
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 7183/81, 7515/500?
Answer: GCF of Numerators as per given numbers 7183/81, 7515/500 is
GCF of Numerators i.e. for 7183,7515 is 1
LCM of denominators i.e. for 81,500 is 40500.
Thus, GCF of Fractions is 1/40500.Finally, GCF of Fractions for 7183/81, 7515/500 is 1/40500.