GCF of 6488/504, 4120/3879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6488/504, 4120/3879 i.e 8/217224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6488/504, 4120/3879.
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 6488/504,4120/3879?
Given fractions are 6488/504,4120/3879
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 6488/504,4120/3879, numerators are 6488,4120
Denominators are 504,3879
The GCF of 6488,4120 is 8 .
LCM of 504,3879 is 217224.
The greatest common factor of 6488/504,4120/3879 = [GCF of 6488,4120]/[LCM of 504,3879]= 8/217224
Therefore, the GCF of 6488/504,4120/3879 is 8/217224.
To find the highest common factor of 6488,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 6488,4120 is 8.
Lets's calculate GCF of 6488,4120
| 2 | 6488, 4120 |
| 2 | 3244, 2060 |
| 2 | 1622, 1030 |
| 811, 515 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6488,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 6488
:1,2,4,8,811,1622,3244,6488
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 6488,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 6488,4120 is 8.
Lets's calculate LCM of 504,3879
| 3 | 504, 3879 |
| 3 | 168, 1293 |
| 56, 431 |
∴ So the LCM of the given numbers is 3 x 3 x 56 x 431 = 217224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/217224
Therefore, the GCF of Fractions 6488/504,4120/3879 is 8/217224
Least Common Multiple of 504,3879 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 504,3879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,3879) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(504,3879) x common factors =9 x 1 = 9
LCM(504,3879) = ( 504 × 3879 ) / 9
LCM(504,3879) = 1955016 / 9
LCM(504,3879) = 217224
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FAQs on GCF of Fractions of 6488/504, 4120/3879
1. What is the HCF of 6488,4120?
The HCF of 6488,4120 is 8
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 6488/504, 4120/3879?
Answer: GCF of Numerators as per given numbers 6488/504, 4120/3879 is
GCF of Numerators i.e. for 6488,4120 is 8
LCM of denominators i.e. for 504,3879 is 217224.
Thus, GCF of Fractions is 8/217224.Finally, GCF of Fractions for 6488/504, 4120/3879 is 8/217224.