Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/166,396/483,493/347
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 630,396,493
Greatest Common Factor of Numerators i.e. GCF of 630,396,493 is 1 .
LCM of Denominators means LCM of 166,483,347 as per the given fractions.
LCM of 166,483,347 is 27821766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,396,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 630,396,493 . The biggest common factor number is the GCF number.
So the greatest common factor 630,396,493 is 1.
Lets's calculate LCM of 166,483,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 27821766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27821766
Therefore, the GCF of Fractions 630/166,396/483,493/347 is 1/27821766
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 166,483,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,483,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,483,347) x common factors =1 x 1 = 1
LCM(166,483,347) = ( 166 × 483 × 347 ) / 1
LCM(166,483,347) = 27821766 / 1
LCM(166,483,347) = 27821766
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 630/166, 396/483, 493/347?
Answer: GCF of Numerators as per given numbers 630/166, 396/483, 493/347 is
GCF of Numerators i.e. for 630,396,493 is 1
LCM of denominators i.e. for 166,483,347 is 27821766.
Thus, GCF of Fractions is 1/27821766.Finally, GCF of Fractions for 630/166, 396/483, 493/347 is 1/27821766.