GCF of 5810/581, 8580/5915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5810/581, 8580/5915 i.e 10/490945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5810/581, 8580/5915.
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 5810/581,8580/5915?
Given fractions are 5810/581,8580/5915
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 5810/581,8580/5915, numerators are 5810,8580
Denominators are 581,5915
The GCF of 5810,8580 is 10 .
LCM of 581,5915 is 490945.
The greatest common factor of 5810/581,8580/5915 = [GCF of 5810,8580]/[LCM of 581,5915]= 10/490945
Therefore, the GCF of 5810/581,8580/5915 is 10/490945.
To find the highest common factor of 5810,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
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 5810,8580 is 10.
Lets's calculate GCF of 5810,8580
| 2 | 5810, 8580 |
| 5 | 2905, 4290 |
| 581, 858 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5810,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
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 5810,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 5810,8580 is 10.
Lets's calculate LCM of 581,5915
| 7 | 581, 5915 |
| 83, 845 |
∴ So the LCM of the given numbers is 7 x 83 x 845 = 490945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/490945
Therefore, the GCF of Fractions 5810/581,8580/5915 is 10/490945
Least Common Multiple of 581,5915 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 581,5915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,5915) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,5915) x common factors =7 x 1 = 7
LCM(581,5915) = ( 581 × 5915 ) / 7
LCM(581,5915) = 3436615 / 7
LCM(581,5915) = 490945
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FAQs on GCF of Fractions of 5810/581, 8580/5915
1. What is the HCF of 5810,8580?
The HCF of 5810,8580 is 10
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 5810/581, 8580/5915?
Answer: GCF of Numerators as per given numbers 5810/581, 8580/5915 is
GCF of Numerators i.e. for 5810,8580 is 10
LCM of denominators i.e. for 581,5915 is 490945.
Thus, GCF of Fractions is 10/490945.Finally, GCF of Fractions for 5810/581, 8580/5915 is 10/490945.