Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 447/656,474/282,981/339
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 447,474,981
Greatest Common Factor of Numerators i.e. GCF of 447,474,981 is 3 .
LCM of Denominators means LCM of 656,282,339 as per the given fractions.
LCM of 656,282,339 is 10452048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 447,474,981
3 | 447, 474, 981 |
149, 158, 327 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 447,474,981 . The biggest common factor number is the GCF number.
So the greatest common factor 447,474,981 is 3.
Lets's calculate LCM of 656,282,339
2 | 656, 282, 339 |
3 | 328, 141, 339 |
328, 47, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 328 x 47 x 113 = 10452048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10452048
Therefore, the GCF of Fractions 447/656,474/282,981/339 is 3/10452048
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 656,282,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,282,339) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(656,282,339) x common factors =1 x 6 = 6
LCM(656,282,339) = ( 656 × 282 × 339 ) / 6
LCM(656,282,339) = 62712288 / 6
LCM(656,282,339) = 10452048
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 447/656, 474/282, 981/339?
Answer: GCF of Numerators as per given numbers 447/656, 474/282, 981/339 is
GCF of Numerators i.e. for 447,474,981 is 3
LCM of denominators i.e. for 656,282,339 is 10452048.
Thus, GCF of Fractions is 3/10452048.Finally, GCF of Fractions for 447/656, 474/282, 981/339 is 3/10452048.