Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/43,549/20,652/507
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 790,549,652
Greatest Common Factor of Numerators i.e. GCF of 790,549,652 is 1 .
LCM of Denominators means LCM of 43,20,507 as per the given fractions.
LCM of 43,20,507 is 436020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,549,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 790,549,652 . The biggest common factor number is the GCF number.
So the greatest common factor 790,549,652 is 1.
Lets's calculate LCM of 43,20,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 436020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436020
Therefore, the GCF of Fractions 790/43,549/20,652/507 is 1/436020
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 43,20,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,20,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,20,507) x common factors =1 x 1 = 1
LCM(43,20,507) = ( 43 × 20 × 507 ) / 1
LCM(43,20,507) = 436020 / 1
LCM(43,20,507) = 436020
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 790/43, 549/20, 652/507?
Answer: GCF of Numerators as per given numbers 790/43, 549/20, 652/507 is
GCF of Numerators i.e. for 790,549,652 is 1
LCM of denominators i.e. for 43,20,507 is 436020.
Thus, GCF of Fractions is 1/436020.Finally, GCF of Fractions for 790/43, 549/20, 652/507 is 1/436020.