GCF of 5804/385, 8580/7681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5804/385, 8580/7681 i.e 4/2957185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5804/385, 8580/7681.
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 5804/385,8580/7681?
Given fractions are 5804/385,8580/7681
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 5804/385,8580/7681, numerators are 5804,8580
Denominators are 385,7681
The GCF of 5804,8580 is 4 .
LCM of 385,7681 is 2957185.
The greatest common factor of 5804/385,8580/7681 = [GCF of 5804,8580]/[LCM of 385,7681]= 4/2957185
Therefore, the GCF of 5804/385,8580/7681 is 4/2957185.
To find the highest common factor of 5804,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5804 are 1, 2, 4, 1451, 2902, 5804
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 5804,8580 is 4.
Lets's calculate GCF of 5804,8580
| 2 | 5804, 8580 |
| 2 | 2902, 4290 |
| 1451, 2145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5804,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 5804
:1,2,4,1451,2902,5804
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 5804,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,8580 is 4.
Lets's calculate LCM of 385,7681
Given numbers has no common factors except 1. So, there LCM is their product i.e 2957185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2957185
Therefore, the GCF of Fractions 5804/385,8580/7681 is 4/2957185
Least Common Multiple of 385,7681 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 385,7681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7681) x common factors =1 x 1 = 1
LCM(385,7681) = ( 385 × 7681 ) / 1
LCM(385,7681) = 2957185 / 1
LCM(385,7681) = 2957185
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FAQs on GCF of Fractions of 5804/385, 8580/7681
1. What is the HCF of 5804,8580?
The HCF of 5804,8580 is 4
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 5804/385, 8580/7681?
Answer: GCF of Numerators as per given numbers 5804/385, 8580/7681 is
GCF of Numerators i.e. for 5804,8580 is 4
LCM of denominators i.e. for 385,7681 is 2957185.
Thus, GCF of Fractions is 4/2957185.Finally, GCF of Fractions for 5804/385, 8580/7681 is 4/2957185.