GCF of 2008/504, 8745/6238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2008/504, 8745/6238 i.e 1/1571976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2008/504, 8745/6238.
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 2008/504,8745/6238?
Given fractions are 2008/504,8745/6238
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 2008/504,8745/6238, numerators are 2008,8745
Denominators are 504,6238
The GCF of 2008,8745 is 1 .
LCM of 504,6238 is 1571976.
The greatest common factor of 2008/504,8745/6238 = [GCF of 2008,8745]/[LCM of 504,6238]= 1/1571976
Therefore, the GCF of 2008/504,8745/6238 is 1/1571976.
To find the highest common factor of 2008,8745, we have to find the factors of both numbers and list the highest common factor.
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The HCF of 2008,8745 is 1.
Lets's calculate GCF of 2008,8745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2008,8745 By Matching Biggest Common Factor Method
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Greatest Common Factor
We found the factors 2008,8745 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,8745 is 1.
Lets's calculate LCM of 504,6238
| 2 | 504, 6238 |
| 252, 3119 |
∴ So the LCM of the given numbers is 2 x 252 x 3119 = 1571976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1571976
Therefore, the GCF of Fractions 2008/504,8745/6238 is 1/1571976
Least Common Multiple of 504,6238 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 504,6238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,6238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(504,6238) x common factors =2 x 1 = 2
LCM(504,6238) = ( 504 × 6238 ) / 2
LCM(504,6238) = 3143952 / 2
LCM(504,6238) = 1571976
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FAQs on GCF of Fractions of 2008/504, 8745/6238
1. What is the HCF of 2008,8745?
The HCF of 2008,8745 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 2008/504, 8745/6238?
Answer: GCF of Numerators as per given numbers 2008/504, 8745/6238 is
GCF of Numerators i.e. for 2008,8745 is 1
LCM of denominators i.e. for 504,6238 is 1571976.
Thus, GCF of Fractions is 1/1571976.Finally, GCF of Fractions for 2008/504, 8745/6238 is 1/1571976.