GCF of 8625/806, 1650/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8625/806, 1650/159 i.e 75/128154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8625/806, 1650/159.
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 8625/806,1650/159?
Given fractions are 8625/806,1650/159
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 8625/806,1650/159, numerators are 8625,1650
Denominators are 806,159
The GCF of 8625,1650 is 75 .
LCM of 806,159 is 128154.
The greatest common factor of 8625/806,1650/159 = [GCF of 8625,1650]/[LCM of 806,159]= 75/128154
Therefore, the GCF of 8625/806,1650/159 is 75/128154.
To find the highest common factor of 8625,1650, 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 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
The HCF of 8625,1650 is 75.
Lets's calculate GCF of 8625,1650
| 3 | 8625, 1650 |
| 5 | 2875, 550 |
| 5 | 575, 110 |
| 115, 22 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 8625,1650 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 1650
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Greatest Common Factor
We found the factors 8625,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 8625,1650 is 75.
Lets's calculate LCM of 806,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 128154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/128154
Therefore, the GCF of Fractions 8625/806,1650/159 is 75/128154
Least Common Multiple of 806,159 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 806,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,159) x common factors =1 x 1 = 1
LCM(806,159) = ( 806 × 159 ) / 1
LCM(806,159) = 128154 / 1
LCM(806,159) = 128154
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FAQs on GCF of Fractions of 8625/806, 1650/159
1. What is the HCF of 8625,1650?
The HCF of 8625,1650 is 75
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 8625/806, 1650/159?
Answer: GCF of Numerators as per given numbers 8625/806, 1650/159 is
GCF of Numerators i.e. for 8625,1650 is 75
LCM of denominators i.e. for 806,159 is 128154.
Thus, GCF of Fractions is 75/128154.Finally, GCF of Fractions for 8625/806, 1650/159 is 75/128154.