Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/206,416/412,301/338
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 873,416,301
Greatest Common Factor of Numerators i.e. GCF of 873,416,301 is 1 .
LCM of Denominators means LCM of 206,412,338 as per the given fractions.
LCM of 206,412,338 is 69628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 873,416,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 873,416,301 . The biggest common factor number is the GCF number.
So the greatest common factor 873,416,301 is 1.
Lets's calculate LCM of 206,412,338
2 | 206, 412, 338 |
103 | 103, 206, 169 |
1, 2, 169 |
∴ So the LCM of the given numbers is 2 x 103 x 1 x 2 x 169 = 69628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69628
Therefore, the GCF of Fractions 873/206,416/412,301/338 is 1/69628
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 206,412,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,412,338) = 2
common factors(in case of two or more numbers have common factors) = 206
GCF(206,412,338) x common factors =2 x 206 = 412
LCM(206,412,338) = ( 206 × 412 × 338 ) / 412
LCM(206,412,338) = 28686736 / 412
LCM(206,412,338) = 69628
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 873/206, 416/412, 301/338?
Answer: GCF of Numerators as per given numbers 873/206, 416/412, 301/338 is
GCF of Numerators i.e. for 873,416,301 is 1
LCM of denominators i.e. for 206,412,338 is 69628.
Thus, GCF of Fractions is 1/69628.Finally, GCF of Fractions for 873/206, 416/412, 301/338 is 1/69628.