Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 180/819,978/348,524/945
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 180,978,524
Greatest Common Factor of Numerators i.e. GCF of 180,978,524 is 2 .
LCM of Denominators means LCM of 819,348,945 as per the given fractions.
LCM of 819,348,945 is 1425060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 180,978,524
2 | 180, 978, 524 |
90, 489, 262 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 180,978,524 . The biggest common factor number is the GCF number.
So the greatest common factor 180,978,524 is 2.
Lets's calculate LCM of 819,348,945
3 | 819, 348, 945 |
3 | 273, 116, 315 |
7 | 91, 116, 105 |
13, 116, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 13 x 116 x 15 = 1425060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1425060
Therefore, the GCF of Fractions 180/819,978/348,524/945 is 2/1425060
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 819,348,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,348,945) = 3
common factors(in case of two or more numbers have common factors) = 63
GCF(819,348,945) x common factors =3 x 63 = 189
LCM(819,348,945) = ( 819 × 348 × 945 ) / 189
LCM(819,348,945) = 269336340 / 189
LCM(819,348,945) = 1425060
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 180/819, 978/348, 524/945?
Answer: GCF of Numerators as per given numbers 180/819, 978/348, 524/945 is
GCF of Numerators i.e. for 180,978,524 is 2
LCM of denominators i.e. for 819,348,945 is 1425060.
Thus, GCF of Fractions is 2/1425060.Finally, GCF of Fractions for 180/819, 978/348, 524/945 is 2/1425060.