GCF of 4905/257, 3615/3670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4905/257, 3615/3670 i.e 15/943190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4905/257, 3615/3670.
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 4905/257,3615/3670?
Given fractions are 4905/257,3615/3670
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 4905/257,3615/3670, numerators are 4905,3615
Denominators are 257,3670
The GCF of 4905,3615 is 15 .
LCM of 257,3670 is 943190.
The greatest common factor of 4905/257,3615/3670 = [GCF of 4905,3615]/[LCM of 257,3670]= 15/943190
Therefore, the GCF of 4905/257,3615/3670 is 15/943190.
To find the highest common factor of 4905,3615, we have to find the factors of both numbers and list the highest common factor.
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615
The HCF of 4905,3615 is 15.
Lets's calculate GCF of 4905,3615
| 3 | 4905, 3615 |
| 5 | 1635, 1205 |
| 327, 241 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4905,3615 By Matching Biggest Common Factor Method
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Now, list down the factors of 3615
:1,3,5,15,241,723,1205,3615
Greatest Common Factor
We found the factors 4905,3615 . The biggest common factor number is the GCF number.
So the greatest common factor 4905,3615 is 15.
Lets's calculate LCM of 257,3670
Given numbers has no common factors except 1. So, there LCM is their product i.e 943190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/943190
Therefore, the GCF of Fractions 4905/257,3615/3670 is 15/943190
Least Common Multiple of 257,3670 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 257,3670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,3670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,3670) x common factors =1 x 1 = 1
LCM(257,3670) = ( 257 × 3670 ) / 1
LCM(257,3670) = 943190 / 1
LCM(257,3670) = 943190
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FAQs on GCF of Fractions of 4905/257, 3615/3670
1. What is the HCF of 4905,3615?
The HCF of 4905,3615 is 15
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 4905/257, 3615/3670?
Answer: GCF of Numerators as per given numbers 4905/257, 3615/3670 is
GCF of Numerators i.e. for 4905,3615 is 15
LCM of denominators i.e. for 257,3670 is 943190.
Thus, GCF of Fractions is 15/943190.Finally, GCF of Fractions for 4905/257, 3615/3670 is 15/943190.