Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2075/537,8082/347
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 2075,8082
Greatest Common Factor of Numerators i.e. GCF of 2075,8082 is 1 .
LCM of Denominators means LCM of 537,347 as per the given fractions.
LCM of 537,347 is 186339 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2075,8082
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2075
List of positive integer factors of 2075 that divides 2075 without a remainder.
1,5,25,83,415,2075
Factors of 8082
List of positive integer factors of 8082 that divides 8082 without a remainder.
1,2,3,6,9,18,449,898,1347,2694,4041,8082
Greatest Common Factor
We found the factors 2075,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 2075,8082 is 1.
Lets's calculate LCM of 537,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 186339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186339
Therefore, the GCF of Fractions 2075/537,8082/347 is 1/186339
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 537,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,347) x common factors =1 x 1 = 1
LCM(537,347) = ( 537 × 347 ) / 1
LCM(537,347) = 186339 / 1
LCM(537,347) = 186339
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 2075/537, 8082/347?
Answer: GCF of Numerators as per given numbers 2075/537, 8082/347 is
GCF of Numerators i.e. for 2075,8082 is 1
LCM of denominators i.e. for 537,347 is 186339.
Thus, GCF of Fractions is 1/186339.Finally, GCF of Fractions for 2075/537, 8082/347 is 1/186339.