Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/833,788/374,585/401
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 595,788,585
Greatest Common Factor of Numerators i.e. GCF of 595,788,585 is 1 .
LCM of Denominators means LCM of 833,374,401 as per the given fractions.
LCM of 833,374,401 is 7348726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,788,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 595,788,585 . The biggest common factor number is the GCF number.
So the greatest common factor 595,788,585 is 1.
Lets's calculate LCM of 833,374,401
17 | 833, 374, 401 |
49, 22, 401 |
∴ So the LCM of the given numbers is 17 x 49 x 22 x 401 = 7348726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7348726
Therefore, the GCF of Fractions 595/833,788/374,585/401 is 1/7348726
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 833,374,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,374,401) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(833,374,401) x common factors =1 x 17 = 17
LCM(833,374,401) = ( 833 × 374 × 401 ) / 17
LCM(833,374,401) = 124928342 / 17
LCM(833,374,401) = 7348726
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 595/833, 788/374, 585/401?
Answer: GCF of Numerators as per given numbers 595/833, 788/374, 585/401 is
GCF of Numerators i.e. for 595,788,585 is 1
LCM of denominators i.e. for 833,374,401 is 7348726.
Thus, GCF of Fractions is 1/7348726.Finally, GCF of Fractions for 595/833, 788/374, 585/401 is 1/7348726.