Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/84,463/31,361/797
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 658,463,361
Greatest Common Factor of Numerators i.e. GCF of 658,463,361 is 1 .
LCM of Denominators means LCM of 84,31,797 as per the given fractions.
LCM of 84,31,797 is 2075388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 658,463,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 658,463,361 . The biggest common factor number is the GCF number.
So the greatest common factor 658,463,361 is 1.
Lets's calculate LCM of 84,31,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 2075388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2075388
Therefore, the GCF of Fractions 658/84,463/31,361/797 is 1/2075388
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 84,31,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,31,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,31,797) x common factors =1 x 1 = 1
LCM(84,31,797) = ( 84 × 31 × 797 ) / 1
LCM(84,31,797) = 2075388 / 1
LCM(84,31,797) = 2075388
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 658/84, 463/31, 361/797?
Answer: GCF of Numerators as per given numbers 658/84, 463/31, 361/797 is
GCF of Numerators i.e. for 658,463,361 is 1
LCM of denominators i.e. for 84,31,797 is 2075388.
Thus, GCF of Fractions is 1/2075388.Finally, GCF of Fractions for 658/84, 463/31, 361/797 is 1/2075388.