Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/94,475/49,923/977
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 326,475,923
Greatest Common Factor of Numerators i.e. GCF of 326,475,923 is 1 .
LCM of Denominators means LCM of 94,49,977 as per the given fractions.
LCM of 94,49,977 is 4500062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 326,475,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 326,475,923 . The biggest common factor number is the GCF number.
So the greatest common factor 326,475,923 is 1.
Lets's calculate LCM of 94,49,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 4500062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4500062
Therefore, the GCF of Fractions 326/94,475/49,923/977 is 1/4500062
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 94,49,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,49,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,49,977) x common factors =1 x 1 = 1
LCM(94,49,977) = ( 94 × 49 × 977 ) / 1
LCM(94,49,977) = 4500062 / 1
LCM(94,49,977) = 4500062
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 326/94, 475/49, 923/977?
Answer: GCF of Numerators as per given numbers 326/94, 475/49, 923/977 is
GCF of Numerators i.e. for 326,475,923 is 1
LCM of denominators i.e. for 94,49,977 is 4500062.
Thus, GCF of Fractions is 1/4500062.Finally, GCF of Fractions for 326/94, 475/49, 923/977 is 1/4500062.