Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/42,71/339,269/830
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 30,71,269
Greatest Common Factor of Numerators i.e. GCF of 30,71,269 is 1 .
LCM of Denominators means LCM of 42,339,830 as per the given fractions.
LCM of 42,339,830 is 1969590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,71,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 30,71,269 . The biggest common factor number is the GCF number.
So the greatest common factor 30,71,269 is 1.
Lets's calculate LCM of 42,339,830
2 | 42, 339, 830 |
3 | 21, 339, 415 |
7, 113, 415 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 113 x 415 = 1969590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1969590
Therefore, the GCF of Fractions 30/42,71/339,269/830 is 1/1969590
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 42,339,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,339,830) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,339,830) x common factors =1 x 6 = 6
LCM(42,339,830) = ( 42 × 339 × 830 ) / 6
LCM(42,339,830) = 11817540 / 6
LCM(42,339,830) = 1969590
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 30/42, 71/339, 269/830?
Answer: GCF of Numerators as per given numbers 30/42, 71/339, 269/830 is
GCF of Numerators i.e. for 30,71,269 is 1
LCM of denominators i.e. for 42,339,830 is 1969590.
Thus, GCF of Fractions is 1/1969590.Finally, GCF of Fractions for 30/42, 71/339, 269/830 is 1/1969590.