GCF of 4257/574, 8580/9052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4257/574, 8580/9052 i.e 33/2597924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4257/574, 8580/9052.
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 4257/574,8580/9052?
Given fractions are 4257/574,8580/9052
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 4257/574,8580/9052, numerators are 4257,8580
Denominators are 574,9052
The GCF of 4257,8580 is 33 .
LCM of 574,9052 is 2597924.
The greatest common factor of 4257/574,8580/9052 = [GCF of 4257,8580]/[LCM of 574,9052]= 33/2597924
Therefore, the GCF of 4257/574,8580/9052 is 33/2597924.
To find the highest common factor of 4257,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 4257,8580 is 33.
Lets's calculate GCF of 4257,8580
| 3 | 4257, 8580 |
| 11 | 1419, 2860 |
| 129, 260 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 4257,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 4257
:1,3,9,11,33,43,99,129,387,473,1419,4257
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 4257,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 4257,8580 is 33.
Lets's calculate LCM of 574,9052
| 2 | 574, 9052 |
| 287, 4526 |
∴ So the LCM of the given numbers is 2 x 287 x 4526 = 2597924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2597924
Therefore, the GCF of Fractions 4257/574,8580/9052 is 33/2597924
Least Common Multiple of 574,9052 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 574,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,9052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,9052) x common factors =2 x 1 = 2
LCM(574,9052) = ( 574 × 9052 ) / 2
LCM(574,9052) = 5195848 / 2
LCM(574,9052) = 2597924
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4257/574, 8580/9052
1. What is the HCF of 4257,8580?
The HCF of 4257,8580 is 33
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 4257/574, 8580/9052?
Answer: GCF of Numerators as per given numbers 4257/574, 8580/9052 is
GCF of Numerators i.e. for 4257,8580 is 33
LCM of denominators i.e. for 574,9052 is 2597924.
Thus, GCF of Fractions is 33/2597924.Finally, GCF of Fractions for 4257/574, 8580/9052 is 33/2597924.