GCF of 6665/322, 6020/7997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6665/322, 6020/7997 i.e 215/2575034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6665/322, 6020/7997.
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 6665/322,6020/7997?
Given fractions are 6665/322,6020/7997
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 6665/322,6020/7997, numerators are 6665,6020
Denominators are 322,7997
The GCF of 6665,6020 is 215 .
LCM of 322,7997 is 2575034.
The greatest common factor of 6665/322,6020/7997 = [GCF of 6665,6020]/[LCM of 322,7997]= 215/2575034
Therefore, the GCF of 6665/322,6020/7997 is 215/2575034.
To find the highest common factor of 6665,6020, we have to find the factors of both numbers and list the highest common factor.
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The HCF of 6665,6020 is 215.
Lets's calculate GCF of 6665,6020
| 5 | 6665, 6020 |
| 43 | 1333, 1204 |
| 31, 28 |
∴ So the GCF of the given numbers is 5 x 43 = 215
Greatest Common Factor of 6665,6020 By Matching Biggest Common Factor Method
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Greatest Common Factor
We found the factors 6665,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,6020 is 215.
Lets's calculate LCM of 322,7997
Given numbers has no common factors except 1. So, there LCM is their product i.e 2575034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 215/2575034
Therefore, the GCF of Fractions 6665/322,6020/7997 is 215/2575034
Least Common Multiple of 322,7997 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 322,7997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7997) x common factors =1 x 1 = 1
LCM(322,7997) = ( 322 × 7997 ) / 1
LCM(322,7997) = 2575034 / 1
LCM(322,7997) = 2575034
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FAQs on GCF of Fractions of 6665/322, 6020/7997
1. What is the HCF of 6665,6020?
The HCF of 6665,6020 is 215
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 6665/322, 6020/7997?
Answer: GCF of Numerators as per given numbers 6665/322, 6020/7997 is
GCF of Numerators i.e. for 6665,6020 is 215
LCM of denominators i.e. for 322,7997 is 2575034.
Thus, GCF of Fractions is 215/2575034.Finally, GCF of Fractions for 6665/322, 6020/7997 is 215/2575034.