GCF of 6155/303, 8580/2865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6155/303, 8580/2865 i.e 5/289365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6155/303, 8580/2865.
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 6155/303,8580/2865?
Given fractions are 6155/303,8580/2865
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 6155/303,8580/2865, numerators are 6155,8580
Denominators are 303,2865
The GCF of 6155,8580 is 5 .
LCM of 303,2865 is 289365.
The greatest common factor of 6155/303,8580/2865 = [GCF of 6155,8580]/[LCM of 303,2865]= 5/289365
Therefore, the GCF of 6155/303,8580/2865 is 5/289365.
To find the highest common factor of 6155,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 6155 are 1, 5, 1231, 6155
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 6155,8580 is 5.
Lets's calculate GCF of 6155,8580
| 5 | 6155, 8580 |
| 1231, 1716 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6155,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 6155
:1,5,1231,6155
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 6155,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 6155,8580 is 5.
Lets's calculate LCM of 303,2865
| 3 | 303, 2865 |
| 101, 955 |
∴ So the LCM of the given numbers is 3 x 101 x 955 = 289365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/289365
Therefore, the GCF of Fractions 6155/303,8580/2865 is 5/289365
Least Common Multiple of 303,2865 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 303,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,2865) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,2865) x common factors =3 x 1 = 3
LCM(303,2865) = ( 303 × 2865 ) / 3
LCM(303,2865) = 868095 / 3
LCM(303,2865) = 289365
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FAQs on GCF of Fractions of 6155/303, 8580/2865
1. What is the HCF of 6155,8580?
The HCF of 6155,8580 is 5
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 6155/303, 8580/2865?
Answer: GCF of Numerators as per given numbers 6155/303, 8580/2865 is
GCF of Numerators i.e. for 6155,8580 is 5
LCM of denominators i.e. for 303,2865 is 289365.
Thus, GCF of Fractions is 5/289365.Finally, GCF of Fractions for 6155/303, 8580/2865 is 5/289365.