Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5582/258,3707/6097
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 5582,3707
Greatest Common Factor of Numerators i.e. GCF of 5582,3707 is 1 .
LCM of Denominators means LCM of 258,6097 as per the given fractions.
LCM of 258,6097 is 1573026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5582,3707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5582
List of positive integer factors of 5582 that divides 5582 without a remainder.
1,2,2791,5582
Factors of 3707
List of positive integer factors of 3707 that divides 3707 without a remainder.
1,11,337,3707
Greatest Common Factor
We found the factors 5582,3707 . The biggest common factor number is the GCF number.
So the greatest common factor 5582,3707 is 1.
Lets's calculate LCM of 258,6097
Given numbers has no common factors except 1. So, there LCM is their product i.e 1573026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1573026
Therefore, the GCF of Fractions 5582/258,3707/6097 is 1/1573026
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 258,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,6097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,6097) x common factors =1 x 1 = 1
LCM(258,6097) = ( 258 × 6097 ) / 1
LCM(258,6097) = 1573026 / 1
LCM(258,6097) = 1573026
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 5582/258, 3707/6097?
Answer: GCF of Numerators as per given numbers 5582/258, 3707/6097 is
GCF of Numerators i.e. for 5582,3707 is 1
LCM of denominators i.e. for 258,6097 is 1573026.
Thus, GCF of Fractions is 1/1573026.Finally, GCF of Fractions for 5582/258, 3707/6097 is 1/1573026.