Use our free GCF of Fractions Calculator tool to compute the GCF of 4228/585, 9156/2122 i.e 28/1241370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4228/585, 9156/2122.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4228/585,9156/2122
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4228/585,9156/2122, numerators are 4228,9156
Denominators are 585,2122
The GCF of 4228,9156 is 28 .
LCM of 585,2122 is 1241370.
The greatest common factor of 4228/585,9156/2122 = [GCF of 4228,9156]/[LCM of 585,2122]= 28/1241370
Therefore, the GCF of 4228/585,9156/2122 is 28/1241370.
To find the highest common factor of 4228,9156, we have to find the factors of both numbers and list the highest common factor.
The factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228
The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The HCF of 4228,9156 is 28.
Lets's calculate GCF of 4228,9156
2 | 4228, 9156 |
2 | 2114, 4578 |
7 | 1057, 2289 |
151, 327 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Now, list down the factors of 4228
:1,2,4,7,14,28,151,302,604,1057,2114,4228
Now, list down the factors of 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 4228,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 4228,9156 is 28.
Lets's calculate LCM of 585,2122
Given numbers has no common factors except 1. So, there LCM is their product i.e 1241370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1241370
Therefore, the GCF of Fractions 4228/585,9156/2122 is 28/1241370
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 585,2122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,2122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,2122) x common factors =1 x 1 = 1
LCM(585,2122) = ( 585 × 2122 ) / 1
LCM(585,2122) = 1241370 / 1
LCM(585,2122) = 1241370
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4228,9156?
The HCF of 4228,9156 is 28
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 4228/585, 9156/2122?
Answer: GCF of Numerators as per given numbers 4228/585, 9156/2122 is
GCF of Numerators i.e. for 4228,9156 is 28
LCM of denominators i.e. for 585,2122 is 1241370.
Thus, GCF of Fractions is 28/1241370.Finally, GCF of Fractions for 4228/585, 9156/2122 is 28/1241370.