Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/624,946/267,449/142
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 299,946,449
Greatest Common Factor of Numerators i.e. GCF of 299,946,449 is 1 .
LCM of Denominators means LCM of 624,267,142 as per the given fractions.
LCM of 624,267,142 is 3943056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,946,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 299,946,449 . The biggest common factor number is the GCF number.
So the greatest common factor 299,946,449 is 1.
Lets's calculate LCM of 624,267,142
2 | 624, 267, 142 |
3 | 312, 267, 71 |
104, 89, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 104 x 89 x 71 = 3943056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3943056
Therefore, the GCF of Fractions 299/624,946/267,449/142 is 1/3943056
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 624,267,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,267,142) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(624,267,142) x common factors =1 x 6 = 6
LCM(624,267,142) = ( 624 × 267 × 142 ) / 6
LCM(624,267,142) = 23658336 / 6
LCM(624,267,142) = 3943056
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 299/624, 946/267, 449/142?
Answer: GCF of Numerators as per given numbers 299/624, 946/267, 449/142 is
GCF of Numerators i.e. for 299,946,449 is 1
LCM of denominators i.e. for 624,267,142 is 3943056.
Thus, GCF of Fractions is 1/3943056.Finally, GCF of Fractions for 299/624, 946/267, 449/142 is 1/3943056.