GCF of 8545/603, 8580/4663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8545/603, 8580/4663 i.e 5/2811789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8545/603, 8580/4663.
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 8545/603,8580/4663?
Given fractions are 8545/603,8580/4663
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 8545/603,8580/4663, numerators are 8545,8580
Denominators are 603,4663
The GCF of 8545,8580 is 5 .
LCM of 603,4663 is 2811789.
The greatest common factor of 8545/603,8580/4663 = [GCF of 8545,8580]/[LCM of 603,4663]= 5/2811789
Therefore, the GCF of 8545/603,8580/4663 is 5/2811789.
To find the highest common factor of 8545,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 8545 are 1, 5, 1709, 8545
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 8545,8580 is 5.
Lets's calculate GCF of 8545,8580
| 5 | 8545, 8580 |
| 1709, 1716 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8545,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 8545
:1,5,1709,8545
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 8545,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 8545,8580 is 5.
Lets's calculate LCM of 603,4663
Given numbers has no common factors except 1. So, there LCM is their product i.e 2811789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2811789
Therefore, the GCF of Fractions 8545/603,8580/4663 is 5/2811789
Least Common Multiple of 603,4663 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 603,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,4663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,4663) x common factors =1 x 1 = 1
LCM(603,4663) = ( 603 × 4663 ) / 1
LCM(603,4663) = 2811789 / 1
LCM(603,4663) = 2811789
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FAQs on GCF of Fractions of 8545/603, 8580/4663
1. What is the HCF of 8545,8580?
The HCF of 8545,8580 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 8545/603, 8580/4663?
Answer: GCF of Numerators as per given numbers 8545/603, 8580/4663 is
GCF of Numerators i.e. for 8545,8580 is 5
LCM of denominators i.e. for 603,4663 is 2811789.
Thus, GCF of Fractions is 5/2811789.Finally, GCF of Fractions for 8545/603, 8580/4663 is 5/2811789.