Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/172,227/304,605/654
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 219,227,605
Greatest Common Factor of Numerators i.e. GCF of 219,227,605 is 1 .
LCM of Denominators means LCM of 172,304,654 as per the given fractions.
LCM of 172,304,654 is 4274544 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,227,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 219,227,605 . The biggest common factor number is the GCF number.
So the greatest common factor 219,227,605 is 1.
Lets's calculate LCM of 172,304,654
2 | 172, 304, 654 |
2 | 86, 152, 327 |
43, 76, 327 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 76 x 327 = 4274544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4274544
Therefore, the GCF of Fractions 219/172,227/304,605/654 is 1/4274544
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 172,304,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,304,654) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(172,304,654) x common factors =2 x 4 = 8
LCM(172,304,654) = ( 172 × 304 × 654 ) / 8
LCM(172,304,654) = 34196352 / 8
LCM(172,304,654) = 4274544
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 219/172, 227/304, 605/654?
Answer: GCF of Numerators as per given numbers 219/172, 227/304, 605/654 is
GCF of Numerators i.e. for 219,227,605 is 1
LCM of denominators i.e. for 172,304,654 is 4274544.
Thus, GCF of Fractions is 1/4274544.Finally, GCF of Fractions for 219/172, 227/304, 605/654 is 1/4274544.