GCF of 9045/639, 1775/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9045/639, 1775/807 i.e 5/171891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9045/639, 1775/807.
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 9045/639,1775/807?
Given fractions are 9045/639,1775/807
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 9045/639,1775/807, numerators are 9045,1775
Denominators are 639,807
The GCF of 9045,1775 is 5 .
LCM of 639,807 is 171891.
The greatest common factor of 9045/639,1775/807 = [GCF of 9045,1775]/[LCM of 639,807]= 5/171891
Therefore, the GCF of 9045/639,1775/807 is 5/171891.
To find the highest common factor of 9045,1775, we have to find the factors of both numbers and list the highest common factor.
The factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045
The factors of 1775 are 1, 5, 25, 71, 355, 1775
The HCF of 9045,1775 is 5.
Lets's calculate GCF of 9045,1775
| 5 | 9045, 1775 |
| 1809, 355 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9045,1775 By Matching Biggest Common Factor Method
Now, list down the factors of 9045
:1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045
Now, list down the factors of 1775
:1,5,25,71,355,1775
Greatest Common Factor
We found the factors 9045,1775 . The biggest common factor number is the GCF number.
So the greatest common factor 9045,1775 is 5.
Lets's calculate LCM of 639,807
| 3 | 639, 807 |
| 213, 269 |
∴ So the LCM of the given numbers is 3 x 213 x 269 = 171891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/171891
Therefore, the GCF of Fractions 9045/639,1775/807 is 5/171891
Least Common Multiple of 639,807 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 639,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,807) x common factors =3 x 1 = 3
LCM(639,807) = ( 639 × 807 ) / 3
LCM(639,807) = 515673 / 3
LCM(639,807) = 171891
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FAQs on GCF of Fractions of 9045/639, 1775/807
1. What is the HCF of 9045,1775?
The HCF of 9045,1775 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 9045/639, 1775/807?
Answer: GCF of Numerators as per given numbers 9045/639, 1775/807 is
GCF of Numerators i.e. for 9045,1775 is 5
LCM of denominators i.e. for 639,807 is 171891.
Thus, GCF of Fractions is 5/171891.Finally, GCF of Fractions for 9045/639, 1775/807 is 5/171891.