GCF of 8120/588, 2088/6324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8120/588, 2088/6324 i.e 232/309876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8120/588, 2088/6324.
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 8120/588,2088/6324?
Given fractions are 8120/588,2088/6324
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 8120/588,2088/6324, numerators are 8120,2088
Denominators are 588,6324
The GCF of 8120,2088 is 232 .
LCM of 588,6324 is 309876.
The greatest common factor of 8120/588,2088/6324 = [GCF of 8120,2088]/[LCM of 588,6324]= 232/309876
Therefore, the GCF of 8120/588,2088/6324 is 232/309876.
To find the highest common factor of 8120,2088, we have to find the factors of both numbers and list the highest common factor.
The factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120
The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088
The HCF of 8120,2088 is 232.
Lets's calculate GCF of 8120,2088
| 2 | 8120, 2088 |
| 2 | 4060, 1044 |
| 2 | 2030, 522 |
| 29 | 1015, 261 |
| 35, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 29 = 232
Greatest Common Factor of 8120,2088 By Matching Biggest Common Factor Method
Now, list down the factors of 8120
:1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120
Now, list down the factors of 2088
:1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Greatest Common Factor
We found the factors 8120,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 8120,2088 is 232.
Lets's calculate LCM of 588,6324
| 2 | 588, 6324 |
| 2 | 294, 3162 |
| 3 | 147, 1581 |
| 49, 527 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 527 = 309876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 232/309876
Therefore, the GCF of Fractions 8120/588,2088/6324 is 232/309876
Least Common Multiple of 588,6324 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 588,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,6324) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,6324) x common factors =12 x 1 = 12
LCM(588,6324) = ( 588 × 6324 ) / 12
LCM(588,6324) = 3718512 / 12
LCM(588,6324) = 309876
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FAQs on GCF of Fractions of 8120/588, 2088/6324
1. What is the HCF of 8120,2088?
The HCF of 8120,2088 is 232
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 8120/588, 2088/6324?
Answer: GCF of Numerators as per given numbers 8120/588, 2088/6324 is
GCF of Numerators i.e. for 8120,2088 is 232
LCM of denominators i.e. for 588,6324 is 309876.
Thus, GCF of Fractions is 232/309876.Finally, GCF of Fractions for 8120/588, 2088/6324 is 232/309876.