Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/549,620/219,586/144
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 779,620,586
Greatest Common Factor of Numerators i.e. GCF of 779,620,586 is 1 .
LCM of Denominators means LCM of 549,219,144 as per the given fractions.
LCM of 549,219,144 is 641232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,620,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 779,620,586 . The biggest common factor number is the GCF number.
So the greatest common factor 779,620,586 is 1.
Lets's calculate LCM of 549,219,144
3 | 549, 219, 144 |
3 | 183, 73, 48 |
61, 73, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 73 x 16 = 641232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/641232
Therefore, the GCF of Fractions 779/549,620/219,586/144 is 1/641232
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 549,219,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,219,144) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(549,219,144) x common factors =3 x 9 = 27
LCM(549,219,144) = ( 549 × 219 × 144 ) / 27
LCM(549,219,144) = 17313264 / 27
LCM(549,219,144) = 641232
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 779/549, 620/219, 586/144?
Answer: GCF of Numerators as per given numbers 779/549, 620/219, 586/144 is
GCF of Numerators i.e. for 779,620,586 is 1
LCM of denominators i.e. for 549,219,144 is 641232.
Thus, GCF of Fractions is 1/641232.Finally, GCF of Fractions for 779/549, 620/219, 586/144 is 1/641232.