Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 853/467,872/504,835/892
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 853,872,835
Greatest Common Factor of Numerators i.e. GCF of 853,872,835 is 1 .
LCM of Denominators means LCM of 467,504,892 as per the given fractions.
LCM of 467,504,892 is 52487064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 853,872,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 853,872,835 . The biggest common factor number is the GCF number.
So the greatest common factor 853,872,835 is 1.
Lets's calculate LCM of 467,504,892
2 | 467, 504, 892 |
2 | 467, 252, 446 |
467, 126, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 467 x 126 x 223 = 52487064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52487064
Therefore, the GCF of Fractions 853/467,872/504,835/892 is 1/52487064
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 467,504,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,504,892) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(467,504,892) x common factors =1 x 4 = 4
LCM(467,504,892) = ( 467 × 504 × 892 ) / 4
LCM(467,504,892) = 209948256 / 4
LCM(467,504,892) = 52487064
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 853/467, 872/504, 835/892?
Answer: GCF of Numerators as per given numbers 853/467, 872/504, 835/892 is
GCF of Numerators i.e. for 853,872,835 is 1
LCM of denominators i.e. for 467,504,892 is 52487064.
Thus, GCF of Fractions is 1/52487064.Finally, GCF of Fractions for 853/467, 872/504, 835/892 is 1/52487064.