Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8486/591,2994/7247
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 8486,2994
Greatest Common Factor of Numerators i.e. GCF of 8486,2994 is 2 .
LCM of Denominators means LCM of 591,7247 as per the given fractions.
LCM of 591,7247 is 4282977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8486,2994
2 | 8486, 2994 |
4243, 1497 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8486
List of positive integer factors of 8486 that divides 8486 without a remainder.
1,2,4243,8486
Factors of 2994
List of positive integer factors of 2994 that divides 2994 without a remainder.
1,2,3,6,499,998,1497,2994
Greatest Common Factor
We found the factors 8486,2994 . The biggest common factor number is the GCF number.
So the greatest common factor 8486,2994 is 2.
Lets's calculate LCM of 591,7247
Given numbers has no common factors except 1. So, there LCM is their product i.e 4282977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4282977
Therefore, the GCF of Fractions 8486/591,2994/7247 is 2/4282977
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 591,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,7247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,7247) x common factors =1 x 1 = 1
LCM(591,7247) = ( 591 × 7247 ) / 1
LCM(591,7247) = 4282977 / 1
LCM(591,7247) = 4282977
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 8486/591, 2994/7247?
Answer: GCF of Numerators as per given numbers 8486/591, 2994/7247 is
GCF of Numerators i.e. for 8486,2994 is 2
LCM of denominators i.e. for 591,7247 is 4282977.
Thus, GCF of Fractions is 2/4282977.Finally, GCF of Fractions for 8486/591, 2994/7247 is 2/4282977.