GCF of 4788/213, 5172/1569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4788/213, 5172/1569 i.e 12/111399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4788/213, 5172/1569.
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 4788/213,5172/1569?
Given fractions are 4788/213,5172/1569
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 4788/213,5172/1569, numerators are 4788,5172
Denominators are 213,1569
The GCF of 4788,5172 is 12 .
LCM of 213,1569 is 111399.
The greatest common factor of 4788/213,5172/1569 = [GCF of 4788,5172]/[LCM of 213,1569]= 12/111399
Therefore, the GCF of 4788/213,5172/1569 is 12/111399.
To find the highest common factor of 4788,5172, we have to find the factors of both numbers and list the highest common factor.
The factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788
The factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172
The HCF of 4788,5172 is 12.
Lets's calculate GCF of 4788,5172
| 2 | 4788, 5172 |
| 2 | 2394, 2586 |
| 3 | 1197, 1293 |
| 399, 431 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4788,5172 By Matching Biggest Common Factor Method
Now, list down the factors of 4788
:1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788
Now, list down the factors of 5172
:1,2,3,4,6,12,431,862,1293,1724,2586,5172
Greatest Common Factor
We found the factors 4788,5172 . The biggest common factor number is the GCF number.
So the greatest common factor 4788,5172 is 12.
Lets's calculate LCM of 213,1569
| 3 | 213, 1569 |
| 71, 523 |
∴ So the LCM of the given numbers is 3 x 71 x 523 = 111399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/111399
Therefore, the GCF of Fractions 4788/213,5172/1569 is 12/111399
Least Common Multiple of 213,1569 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 213,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,1569) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,1569) x common factors =3 x 1 = 3
LCM(213,1569) = ( 213 × 1569 ) / 3
LCM(213,1569) = 334197 / 3
LCM(213,1569) = 111399
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FAQs on GCF of Fractions of 4788/213, 5172/1569
1. What is the HCF of 4788,5172?
The HCF of 4788,5172 is 12
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 4788/213, 5172/1569?
Answer: GCF of Numerators as per given numbers 4788/213, 5172/1569 is
GCF of Numerators i.e. for 4788,5172 is 12
LCM of denominators i.e. for 213,1569 is 111399.
Thus, GCF of Fractions is 12/111399.Finally, GCF of Fractions for 4788/213, 5172/1569 is 12/111399.