Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/609,116/829,822/321
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 28,116,822
Greatest Common Factor of Numerators i.e. GCF of 28,116,822 is 2 .
LCM of Denominators means LCM of 609,829,321 as per the given fractions.
LCM of 609,829,321 is 54020127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,116,822
2 | 28, 116, 822 |
14, 58, 411 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 28,116,822 . The biggest common factor number is the GCF number.
So the greatest common factor 28,116,822 is 2.
Lets's calculate LCM of 609,829,321
3 | 609, 829, 321 |
203, 829, 107 |
∴ So the LCM of the given numbers is 3 x 203 x 829 x 107 = 54020127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54020127
Therefore, the GCF of Fractions 28/609,116/829,822/321 is 2/54020127
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 609,829,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,829,321) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(609,829,321) x common factors =1 x 3 = 3
LCM(609,829,321) = ( 609 × 829 × 321 ) / 3
LCM(609,829,321) = 162060381 / 3
LCM(609,829,321) = 54020127
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 28/609, 116/829, 822/321?
Answer: GCF of Numerators as per given numbers 28/609, 116/829, 822/321 is
GCF of Numerators i.e. for 28,116,822 is 2
LCM of denominators i.e. for 609,829,321 is 54020127.
Thus, GCF of Fractions is 2/54020127.Finally, GCF of Fractions for 28/609, 116/829, 822/321 is 2/54020127.