GCF of 6320/725, 6368/4165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6320/725, 6368/4165 i.e 16/603925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6320/725, 6368/4165.
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 6320/725,6368/4165?
Given fractions are 6320/725,6368/4165
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 6320/725,6368/4165, numerators are 6320,6368
Denominators are 725,4165
The GCF of 6320,6368 is 16 .
LCM of 725,4165 is 603925.
The greatest common factor of 6320/725,6368/4165 = [GCF of 6320,6368]/[LCM of 725,4165]= 16/603925
Therefore, the GCF of 6320/725,6368/4165 is 16/603925.
To find the highest common factor of 6320,6368, we have to find the factors of both numbers and list the highest common factor.
The factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320
The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368
The HCF of 6320,6368 is 16.
Lets's calculate GCF of 6320,6368
| 2 | 6320, 6368 |
| 2 | 3160, 3184 |
| 2 | 1580, 1592 |
| 2 | 790, 796 |
| 395, 398 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6320,6368 By Matching Biggest Common Factor Method
Now, list down the factors of 6320
:1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320
Now, list down the factors of 6368
:1,2,4,8,16,32,199,398,796,1592,3184,6368
Greatest Common Factor
We found the factors 6320,6368 . The biggest common factor number is the GCF number.
So the greatest common factor 6320,6368 is 16.
Lets's calculate LCM of 725,4165
| 5 | 725, 4165 |
| 145, 833 |
∴ So the LCM of the given numbers is 5 x 145 x 833 = 603925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/603925
Therefore, the GCF of Fractions 6320/725,6368/4165 is 16/603925
Least Common Multiple of 725,4165 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 725,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,4165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,4165) x common factors =5 x 1 = 5
LCM(725,4165) = ( 725 × 4165 ) / 5
LCM(725,4165) = 3019625 / 5
LCM(725,4165) = 603925
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FAQs on GCF of Fractions of 6320/725, 6368/4165
1. What is the HCF of 6320,6368?
The HCF of 6320,6368 is 16
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 6320/725, 6368/4165?
Answer: GCF of Numerators as per given numbers 6320/725, 6368/4165 is
GCF of Numerators i.e. for 6320,6368 is 16
LCM of denominators i.e. for 725,4165 is 603925.
Thus, GCF of Fractions is 16/603925.Finally, GCF of Fractions for 6320/725, 6368/4165 is 16/603925.