Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 373/69,546/3803
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 373,546
Greatest Common Factor of Numerators i.e. GCF of 373,546 is 1 .
LCM of Denominators means LCM of 69,3803 as per the given fractions.
LCM of 69,3803 is 262407 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 373,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 373,546 . The biggest common factor number is the GCF number.
So the greatest common factor 373,546 is 1.
Lets's calculate LCM of 69,3803
Given numbers has no common factors except 1. So, there LCM is their product i.e 262407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262407
Therefore, the GCF of Fractions 373/69,546/3803 is 1/262407
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 69,3803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,3803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,3803) x common factors =1 x 1 = 1
LCM(69,3803) = ( 69 × 3803 ) / 1
LCM(69,3803) = 262407 / 1
LCM(69,3803) = 262407
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 373/69, 546/3803?
Answer: GCF of Numerators as per given numbers 373/69, 546/3803 is
GCF of Numerators i.e. for 373,546 is 1
LCM of denominators i.e. for 69,3803 is 262407.
Thus, GCF of Fractions is 1/262407.Finally, GCF of Fractions for 373/69, 546/3803 is 1/262407.