GCF of 5956/489, 2728/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5956/489, 2728/828 i.e 4/134964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5956/489, 2728/828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5956/489,2728/828?
Given fractions are 5956/489,2728/828
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 5956/489,2728/828, numerators are 5956,2728
Denominators are 489,828
The GCF of 5956,2728 is 4 .
LCM of 489,828 is 134964.
The greatest common factor of 5956/489,2728/828 = [GCF of 5956,2728]/[LCM of 489,828]= 4/134964
Therefore, the GCF of 5956/489,2728/828 is 4/134964.
To find the highest common factor of 5956,2728, we have to find the factors of both numbers and list the highest common factor.
The factors of 5956 are 1, 2, 4, 1489, 2978, 5956
The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728
The HCF of 5956,2728 is 4.
Lets's calculate GCF of 5956,2728
| 2 | 5956, 2728 |
| 2 | 2978, 1364 |
| 1489, 682 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5956,2728 By Matching Biggest Common Factor Method
Now, list down the factors of 5956
:1,2,4,1489,2978,5956
Now, list down the factors of 2728
:1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Greatest Common Factor
We found the factors 5956,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 5956,2728 is 4.
Lets's calculate LCM of 489,828
| 3 | 489, 828 |
| 163, 276 |
∴ So the LCM of the given numbers is 3 x 163 x 276 = 134964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/134964
Therefore, the GCF of Fractions 5956/489,2728/828 is 4/134964
Least Common Multiple of 489,828 with GCF Formula
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 489,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,828) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,828) x common factors =3 x 1 = 3
LCM(489,828) = ( 489 × 828 ) / 3
LCM(489,828) = 404892 / 3
LCM(489,828) = 134964
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FAQs on GCF of Fractions of 5956/489, 2728/828
1. What is the HCF of 5956,2728?
The HCF of 5956,2728 is 4
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 5956/489, 2728/828?
Answer: GCF of Numerators as per given numbers 5956/489, 2728/828 is
GCF of Numerators i.e. for 5956,2728 is 4
LCM of denominators i.e. for 489,828 is 134964.
Thus, GCF of Fractions is 4/134964.Finally, GCF of Fractions for 5956/489, 2728/828 is 4/134964.