GCF of 4428/879, 9144/4558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4428/879, 9144/4558 i.e 36/4006482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4428/879, 9144/4558.
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 4428/879,9144/4558?
Given fractions are 4428/879,9144/4558
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 4428/879,9144/4558, numerators are 4428,9144
Denominators are 879,4558
The GCF of 4428,9144 is 36 .
LCM of 879,4558 is 4006482.
The greatest common factor of 4428/879,9144/4558 = [GCF of 4428,9144]/[LCM of 879,4558]= 36/4006482
Therefore, the GCF of 4428/879,9144/4558 is 36/4006482.
To find the highest common factor of 4428,9144, we have to find the factors of both numbers and list the highest common factor.
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144
The HCF of 4428,9144 is 36.
Lets's calculate GCF of 4428,9144
| 2 | 4428, 9144 |
| 2 | 2214, 4572 |
| 3 | 1107, 2286 |
| 3 | 369, 762 |
| 123, 254 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 4428,9144 By Matching Biggest Common Factor Method
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Now, list down the factors of 9144
:1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Greatest Common Factor
We found the factors 4428,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,9144 is 36.
Lets's calculate LCM of 879,4558
Given numbers has no common factors except 1. So, there LCM is their product i.e 4006482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/4006482
Therefore, the GCF of Fractions 4428/879,9144/4558 is 36/4006482
Least Common Multiple of 879,4558 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 879,4558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,4558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,4558) x common factors =1 x 1 = 1
LCM(879,4558) = ( 879 × 4558 ) / 1
LCM(879,4558) = 4006482 / 1
LCM(879,4558) = 4006482
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FAQs on GCF of Fractions of 4428/879, 9144/4558
1. What is the HCF of 4428,9144?
The HCF of 4428,9144 is 36
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 4428/879, 9144/4558?
Answer: GCF of Numerators as per given numbers 4428/879, 9144/4558 is
GCF of Numerators i.e. for 4428,9144 is 36
LCM of denominators i.e. for 879,4558 is 4006482.
Thus, GCF of Fractions is 36/4006482.Finally, GCF of Fractions for 4428/879, 9144/4558 is 36/4006482.