Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 174/33,695/3049
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 174,695
Greatest Common Factor of Numerators i.e. GCF of 174,695 is 1 .
LCM of Denominators means LCM of 33,3049 as per the given fractions.
LCM of 33,3049 is 100617 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 174,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 174,695 . The biggest common factor number is the GCF number.
So the greatest common factor 174,695 is 1.
Lets's calculate LCM of 33,3049
Given numbers has no common factors except 1. So, there LCM is their product i.e 100617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100617
Therefore, the GCF of Fractions 174/33,695/3049 is 1/100617
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 33,3049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,3049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,3049) x common factors =1 x 1 = 1
LCM(33,3049) = ( 33 × 3049 ) / 1
LCM(33,3049) = 100617 / 1
LCM(33,3049) = 100617
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 174/33, 695/3049?
Answer: GCF of Numerators as per given numbers 174/33, 695/3049 is
GCF of Numerators i.e. for 174,695 is 1
LCM of denominators i.e. for 33,3049 is 100617.
Thus, GCF of Fractions is 1/100617.Finally, GCF of Fractions for 174/33, 695/3049 is 1/100617.