Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6037/87,8038/995
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 6037,8038
Greatest Common Factor of Numerators i.e. GCF of 6037,8038 is 1 .
LCM of Denominators means LCM of 87,995 as per the given fractions.
LCM of 87,995 is 86565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6037,8038
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6037
List of positive integer factors of 6037 that divides 6037 without a remainder.
1,6037
Factors of 8038
List of positive integer factors of 8038 that divides 8038 without a remainder.
1,2,4019,8038
Greatest Common Factor
We found the factors 6037,8038 . The biggest common factor number is the GCF number.
So the greatest common factor 6037,8038 is 1.
Lets's calculate LCM of 87,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 86565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86565
Therefore, the GCF of Fractions 6037/87,8038/995 is 1/86565
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 87,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,995) x common factors =1 x 1 = 1
LCM(87,995) = ( 87 × 995 ) / 1
LCM(87,995) = 86565 / 1
LCM(87,995) = 86565
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 6037/87, 8038/995?
Answer: GCF of Numerators as per given numbers 6037/87, 8038/995 is
GCF of Numerators i.e. for 6037,8038 is 1
LCM of denominators i.e. for 87,995 is 86565.
Thus, GCF of Fractions is 1/86565.Finally, GCF of Fractions for 6037/87, 8038/995 is 1/86565.