Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 881/674,284/833,211/462
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 881,284,211
Greatest Common Factor of Numerators i.e. GCF of 881,284,211 is 1 .
LCM of Denominators means LCM of 674,833,462 as per the given fractions.
LCM of 674,833,462 is 18527586 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 881,284,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 881,284,211 . The biggest common factor number is the GCF number.
So the greatest common factor 881,284,211 is 1.
Lets's calculate LCM of 674,833,462
2 | 674, 833, 462 |
7 | 337, 833, 231 |
337, 119, 33 |
∴ So the LCM of the given numbers is 2 x 7 x 337 x 119 x 33 = 18527586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18527586
Therefore, the GCF of Fractions 881/674,284/833,211/462 is 1/18527586
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 674,833,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,833,462) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(674,833,462) x common factors =1 x 14 = 14
LCM(674,833,462) = ( 674 × 833 × 462 ) / 14
LCM(674,833,462) = 259386204 / 14
LCM(674,833,462) = 18527586
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 881/674, 284/833, 211/462?
Answer: GCF of Numerators as per given numbers 881/674, 284/833, 211/462 is
GCF of Numerators i.e. for 881,284,211 is 1
LCM of denominators i.e. for 674,833,462 is 18527586.
Thus, GCF of Fractions is 1/18527586.Finally, GCF of Fractions for 881/674, 284/833, 211/462 is 1/18527586.