Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/73,765/33,457/901
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 318,765,457
Greatest Common Factor of Numerators i.e. GCF of 318,765,457 is 1 .
LCM of Denominators means LCM of 73,33,901 as per the given fractions.
LCM of 73,33,901 is 2170509 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 318,765,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 318,765,457 . The biggest common factor number is the GCF number.
So the greatest common factor 318,765,457 is 1.
Lets's calculate LCM of 73,33,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 2170509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2170509
Therefore, the GCF of Fractions 318/73,765/33,457/901 is 1/2170509
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 73,33,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,33,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,33,901) x common factors =1 x 1 = 1
LCM(73,33,901) = ( 73 × 33 × 901 ) / 1
LCM(73,33,901) = 2170509 / 1
LCM(73,33,901) = 2170509
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 318/73, 765/33, 457/901?
Answer: GCF of Numerators as per given numbers 318/73, 765/33, 457/901 is
GCF of Numerators i.e. for 318,765,457 is 1
LCM of denominators i.e. for 73,33,901 is 2170509.
Thus, GCF of Fractions is 1/2170509.Finally, GCF of Fractions for 318/73, 765/33, 457/901 is 1/2170509.