Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/70,561/69,420/309
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 197,561,420
Greatest Common Factor of Numerators i.e. GCF of 197,561,420 is 1 .
LCM of Denominators means LCM of 70,69,309 as per the given fractions.
LCM of 70,69,309 is 497490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 197,561,420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 197,561,420 . The biggest common factor number is the GCF number.
So the greatest common factor 197,561,420 is 1.
Lets's calculate LCM of 70,69,309
3 | 70, 69, 309 |
70, 23, 103 |
∴ So the LCM of the given numbers is 3 x 70 x 23 x 103 = 497490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497490
Therefore, the GCF of Fractions 197/70,561/69,420/309 is 1/497490
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 70,69,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,69,309) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(70,69,309) x common factors =1 x 3 = 3
LCM(70,69,309) = ( 70 × 69 × 309 ) / 3
LCM(70,69,309) = 1492470 / 3
LCM(70,69,309) = 497490
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 197/70, 561/69, 420/309?
Answer: GCF of Numerators as per given numbers 197/70, 561/69, 420/309 is
GCF of Numerators i.e. for 197,561,420 is 1
LCM of denominators i.e. for 70,69,309 is 497490.
Thus, GCF of Fractions is 1/497490.Finally, GCF of Fractions for 197/70, 561/69, 420/309 is 1/497490.