Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/269,822/318,473/141
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 339,822,473
Greatest Common Factor of Numerators i.e. GCF of 339,822,473 is 1 .
LCM of Denominators means LCM of 269,318,141 as per the given fractions.
LCM of 269,318,141 is 4020474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 339,822,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 339,822,473 . The biggest common factor number is the GCF number.
So the greatest common factor 339,822,473 is 1.
Lets's calculate LCM of 269,318,141
3 | 269, 318, 141 |
269, 106, 47 |
∴ So the LCM of the given numbers is 3 x 269 x 106 x 47 = 4020474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4020474
Therefore, the GCF of Fractions 339/269,822/318,473/141 is 1/4020474
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 269,318,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,318,141) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(269,318,141) x common factors =1 x 3 = 3
LCM(269,318,141) = ( 269 × 318 × 141 ) / 3
LCM(269,318,141) = 12061422 / 3
LCM(269,318,141) = 4020474
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 339/269, 822/318, 473/141?
Answer: GCF of Numerators as per given numbers 339/269, 822/318, 473/141 is
GCF of Numerators i.e. for 339,822,473 is 1
LCM of denominators i.e. for 269,318,141 is 4020474.
Thus, GCF of Fractions is 1/4020474.Finally, GCF of Fractions for 339/269, 822/318, 473/141 is 1/4020474.