GCF of 4080/238, 5593/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4080/238, 5593/452 i.e 17/53788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4080/238, 5593/452.
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 4080/238,5593/452?
Given fractions are 4080/238,5593/452
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 4080/238,5593/452, numerators are 4080,5593
Denominators are 238,452
The GCF of 4080,5593 is 17 .
LCM of 238,452 is 53788.
The greatest common factor of 4080/238,5593/452 = [GCF of 4080,5593]/[LCM of 238,452]= 17/53788
Therefore, the GCF of 4080/238,5593/452 is 17/53788.
To find the highest common factor of 4080,5593, we have to find the factors of both numbers and list the highest common factor.
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593
The HCF of 4080,5593 is 17.
Lets's calculate GCF of 4080,5593
| 17 | 4080, 5593 |
| 240, 329 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 4080,5593 By Matching Biggest Common Factor Method
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Now, list down the factors of 5593
:1,7,17,47,119,329,799,5593
Greatest Common Factor
We found the factors 4080,5593 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,5593 is 17.
Lets's calculate LCM of 238,452
| 2 | 238, 452 |
| 119, 226 |
∴ So the LCM of the given numbers is 2 x 119 x 226 = 53788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/53788
Therefore, the GCF of Fractions 4080/238,5593/452 is 17/53788
Least Common Multiple of 238,452 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 238,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,452) x common factors =2 x 1 = 2
LCM(238,452) = ( 238 × 452 ) / 2
LCM(238,452) = 107576 / 2
LCM(238,452) = 53788
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FAQs on GCF of Fractions of 4080/238, 5593/452
1. What is the HCF of 4080,5593?
The HCF of 4080,5593 is 17
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 4080/238, 5593/452?
Answer: GCF of Numerators as per given numbers 4080/238, 5593/452 is
GCF of Numerators i.e. for 4080,5593 is 17
LCM of denominators i.e. for 238,452 is 53788.
Thus, GCF of Fractions is 17/53788.Finally, GCF of Fractions for 4080/238, 5593/452 is 17/53788.