Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/187,6910/9058
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 353,6910
Greatest Common Factor of Numerators i.e. GCF of 353,6910 is 1 .
LCM of Denominators means LCM of 187,9058 as per the given fractions.
LCM of 187,9058 is 1693846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 353,6910
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 6910
List of positive integer factors of 6910 that divides 6910 without a remainder.
1,2,5,10,691,1382,3455,6910
Greatest Common Factor
We found the factors 353,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 353,6910 is 1.
Lets's calculate LCM of 187,9058
Given numbers has no common factors except 1. So, there LCM is their product i.e 1693846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1693846
Therefore, the GCF of Fractions 353/187,6910/9058 is 1/1693846
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 187,9058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,9058) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,9058) x common factors =1 x 1 = 1
LCM(187,9058) = ( 187 × 9058 ) / 1
LCM(187,9058) = 1693846 / 1
LCM(187,9058) = 1693846
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 353/187, 6910/9058?
Answer: GCF of Numerators as per given numbers 353/187, 6910/9058 is
GCF of Numerators i.e. for 353,6910 is 1
LCM of denominators i.e. for 187,9058 is 1693846.
Thus, GCF of Fractions is 1/1693846.Finally, GCF of Fractions for 353/187, 6910/9058 is 1/1693846.