GCF of 8832/691, 8580/5724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8832/691, 8580/5724 i.e 12/3955284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8832/691, 8580/5724.
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 8832/691,8580/5724?
Given fractions are 8832/691,8580/5724
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 8832/691,8580/5724, numerators are 8832,8580
Denominators are 691,5724
The GCF of 8832,8580 is 12 .
LCM of 691,5724 is 3955284.
The greatest common factor of 8832/691,8580/5724 = [GCF of 8832,8580]/[LCM of 691,5724]= 12/3955284
Therefore, the GCF of 8832/691,8580/5724 is 12/3955284.
To find the highest common factor of 8832,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832
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 8832,8580 is 12.
Lets's calculate GCF of 8832,8580
| 2 | 8832, 8580 |
| 2 | 4416, 4290 |
| 3 | 2208, 2145 |
| 736, 715 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8832,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 8832
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
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 8832,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 8832,8580 is 12.
Lets's calculate LCM of 691,5724
Given numbers has no common factors except 1. So, there LCM is their product i.e 3955284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3955284
Therefore, the GCF of Fractions 8832/691,8580/5724 is 12/3955284
Least Common Multiple of 691,5724 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 691,5724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,5724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,5724) x common factors =1 x 1 = 1
LCM(691,5724) = ( 691 × 5724 ) / 1
LCM(691,5724) = 3955284 / 1
LCM(691,5724) = 3955284
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8832/691, 8580/5724
1. What is the HCF of 8832,8580?
The HCF of 8832,8580 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 8832/691, 8580/5724?
Answer: GCF of Numerators as per given numbers 8832/691, 8580/5724 is
GCF of Numerators i.e. for 8832,8580 is 12
LCM of denominators i.e. for 691,5724 is 3955284.
Thus, GCF of Fractions is 12/3955284.Finally, GCF of Fractions for 8832/691, 8580/5724 is 12/3955284.