Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/33,754/139
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 433,754
Greatest Common Factor of Numerators i.e. GCF of 433,754 is 1 .
LCM of Denominators means LCM of 33,139 as per the given fractions.
LCM of 33,139 is 4587 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 433,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 433,754 . The biggest common factor number is the GCF number.
So the greatest common factor 433,754 is 1.
Lets's calculate LCM of 33,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 4587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4587
Therefore, the GCF of Fractions 433/33,754/139 is 1/4587
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 33,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,139) x common factors =1 x 1 = 1
LCM(33,139) = ( 33 × 139 ) / 1
LCM(33,139) = 4587 / 1
LCM(33,139) = 4587
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 433/33, 754/139?
Answer: GCF of Numerators as per given numbers 433/33, 754/139 is
GCF of Numerators i.e. for 433,754 is 1
LCM of denominators i.e. for 33,139 is 4587.
Thus, GCF of Fractions is 1/4587.Finally, GCF of Fractions for 433/33, 754/139 is 1/4587.