GCF of 8625/540, 1803/4960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8625/540, 1803/4960 i.e 3/133920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8625/540, 1803/4960.
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 8625/540,1803/4960?
Given fractions are 8625/540,1803/4960
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 8625/540,1803/4960, numerators are 8625,1803
Denominators are 540,4960
The GCF of 8625,1803 is 3 .
LCM of 540,4960 is 133920.
The greatest common factor of 8625/540,1803/4960 = [GCF of 8625,1803]/[LCM of 540,4960]= 3/133920
Therefore, the GCF of 8625/540,1803/4960 is 3/133920.
To find the highest common factor of 8625,1803, we have to find the factors of both numbers and list the highest common factor.
The factors of 8625 are 1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 1725, 2875, 8625
The factors of 1803 are 1, 3, 601, 1803
The HCF of 8625,1803 is 3.
Lets's calculate GCF of 8625,1803
| 3 | 8625, 1803 |
| 2875, 601 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8625,1803 By Matching Biggest Common Factor Method
Now, list down the factors of 8625
:1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625
Now, list down the factors of 1803
:1,3,601,1803
Greatest Common Factor
We found the factors 8625,1803 . The biggest common factor number is the GCF number.
So the greatest common factor 8625,1803 is 3.
Lets's calculate LCM of 540,4960
| 2 | 540, 4960 |
| 2 | 270, 2480 |
| 5 | 135, 1240 |
| 27, 248 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 248 = 133920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/133920
Therefore, the GCF of Fractions 8625/540,1803/4960 is 3/133920
Least Common Multiple of 540,4960 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 540,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,4960) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(540,4960) x common factors =20 x 1 = 20
LCM(540,4960) = ( 540 × 4960 ) / 20
LCM(540,4960) = 2678400 / 20
LCM(540,4960) = 133920
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FAQs on GCF of Fractions of 8625/540, 1803/4960
1. What is the HCF of 8625,1803?
The HCF of 8625,1803 is 3
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 8625/540, 1803/4960?
Answer: GCF of Numerators as per given numbers 8625/540, 1803/4960 is
GCF of Numerators i.e. for 8625,1803 is 3
LCM of denominators i.e. for 540,4960 is 133920.
Thus, GCF of Fractions is 3/133920.Finally, GCF of Fractions for 8625/540, 1803/4960 is 3/133920.