Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4058/137,6693/332
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 4058,6693
Greatest Common Factor of Numerators i.e. GCF of 4058,6693 is 1 .
LCM of Denominators means LCM of 137,332 as per the given fractions.
LCM of 137,332 is 45484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4058,6693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4058
List of positive integer factors of 4058 that divides 4058 without a remainder.
1,2,2029,4058
Factors of 6693
List of positive integer factors of 6693 that divides 6693 without a remainder.
1,3,23,69,97,291,2231,6693
Greatest Common Factor
We found the factors 4058,6693 . The biggest common factor number is the GCF number.
So the greatest common factor 4058,6693 is 1.
Lets's calculate LCM of 137,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 45484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45484
Therefore, the GCF of Fractions 4058/137,6693/332 is 1/45484
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 137,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,332) x common factors =1 x 1 = 1
LCM(137,332) = ( 137 × 332 ) / 1
LCM(137,332) = 45484 / 1
LCM(137,332) = 45484
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 4058/137, 6693/332?
Answer: GCF of Numerators as per given numbers 4058/137, 6693/332 is
GCF of Numerators i.e. for 4058,6693 is 1
LCM of denominators i.e. for 137,332 is 45484.
Thus, GCF of Fractions is 1/45484.Finally, GCF of Fractions for 4058/137, 6693/332 is 1/45484.