GCF of 8580/370, 9284/5942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8580/370, 9284/5942 i.e 44/1099270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8580/370, 9284/5942.
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 8580/370,9284/5942?
Given fractions are 8580/370,9284/5942
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 8580/370,9284/5942, numerators are 8580,9284
Denominators are 370,5942
The GCF of 8580,9284 is 44 .
LCM of 370,5942 is 1099270.
The greatest common factor of 8580/370,9284/5942 = [GCF of 8580,9284]/[LCM of 370,5942]= 44/1099270
Therefore, the GCF of 8580/370,9284/5942 is 44/1099270.
To find the highest common factor of 8580,9284, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284
The HCF of 8580,9284 is 44.
Lets's calculate GCF of 8580,9284
| 2 | 8580, 9284 |
| 2 | 4290, 4642 |
| 11 | 2145, 2321 |
| 195, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 8580,9284 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9284
:1,2,4,11,22,44,211,422,844,2321,4642,9284
Greatest Common Factor
We found the factors 8580,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,9284 is 44.
Lets's calculate LCM of 370,5942
| 2 | 370, 5942 |
| 185, 2971 |
∴ So the LCM of the given numbers is 2 x 185 x 2971 = 1099270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/1099270
Therefore, the GCF of Fractions 8580/370,9284/5942 is 44/1099270
Least Common Multiple of 370,5942 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 370,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,5942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,5942) x common factors =2 x 1 = 2
LCM(370,5942) = ( 370 × 5942 ) / 2
LCM(370,5942) = 2198540 / 2
LCM(370,5942) = 1099270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8580/370, 9284/5942
1. What is the HCF of 8580,9284?
The HCF of 8580,9284 is 44
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 8580/370, 9284/5942?
Answer: GCF of Numerators as per given numbers 8580/370, 9284/5942 is
GCF of Numerators i.e. for 8580,9284 is 44
LCM of denominators i.e. for 370,5942 is 1099270.
Thus, GCF of Fractions is 44/1099270.Finally, GCF of Fractions for 8580/370, 9284/5942 is 44/1099270.