Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/892,737/133
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 318,737
Greatest Common Factor of Numerators i.e. GCF of 318,737 is 1 .
LCM of Denominators means LCM of 892,133 as per the given fractions.
LCM of 892,133 is 118636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 318,737
∴ 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 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 318,737 . The biggest common factor number is the GCF number.
So the greatest common factor 318,737 is 1.
Lets's calculate LCM of 892,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 118636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118636
Therefore, the GCF of Fractions 318/892,737/133 is 1/118636
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 892,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(892,133) x common factors =1 x 1 = 1
LCM(892,133) = ( 892 × 133 ) / 1
LCM(892,133) = 118636 / 1
LCM(892,133) = 118636
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 318/892, 737/133?
Answer: GCF of Numerators as per given numbers 318/892, 737/133 is
GCF of Numerators i.e. for 318,737 is 1
LCM of denominators i.e. for 892,133 is 118636.
Thus, GCF of Fractions is 1/118636.Finally, GCF of Fractions for 318/892, 737/133 is 1/118636.