GCF of 8009/504, 3915/4010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8009/504, 3915/4010 i.e 1/1010520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8009/504, 3915/4010.
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 8009/504,3915/4010?
Given fractions are 8009/504,3915/4010
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 8009/504,3915/4010, numerators are 8009,3915
Denominators are 504,4010
The GCF of 8009,3915 is 1 .
LCM of 504,4010 is 1010520.
The greatest common factor of 8009/504,3915/4010 = [GCF of 8009,3915]/[LCM of 504,4010]= 1/1010520
Therefore, the GCF of 8009/504,3915/4010 is 1/1010520.
To find the highest common factor of 8009,3915, we have to find the factors of both numbers and list the highest common factor.
The factors of 8009 are 1, 8009
The factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915
The HCF of 8009,3915 is 1.
Lets's calculate GCF of 8009,3915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8009,3915 By Matching Biggest Common Factor Method
Now, list down the factors of 8009
:1,8009
Now, list down the factors of 3915
:1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915
Greatest Common Factor
We found the factors 8009,3915 . The biggest common factor number is the GCF number.
So the greatest common factor 8009,3915 is 1.
Lets's calculate LCM of 504,4010
| 2 | 504, 4010 |
| 252, 2005 |
∴ So the LCM of the given numbers is 2 x 252 x 2005 = 1010520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010520
Therefore, the GCF of Fractions 8009/504,3915/4010 is 1/1010520
Least Common Multiple of 504,4010 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 504,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,4010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(504,4010) x common factors =2 x 1 = 2
LCM(504,4010) = ( 504 × 4010 ) / 2
LCM(504,4010) = 2021040 / 2
LCM(504,4010) = 1010520
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FAQs on GCF of Fractions of 8009/504, 3915/4010
1. What is the HCF of 8009,3915?
The HCF of 8009,3915 is 1
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 8009/504, 3915/4010?
Answer: GCF of Numerators as per given numbers 8009/504, 3915/4010 is
GCF of Numerators i.e. for 8009,3915 is 1
LCM of denominators i.e. for 504,4010 is 1010520.
Thus, GCF of Fractions is 1/1010520.Finally, GCF of Fractions for 8009/504, 3915/4010 is 1/1010520.