GCF of 4020/320, 6665/7086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4020/320, 6665/7086 i.e 5/1133760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4020/320, 6665/7086.
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 4020/320,6665/7086?
Given fractions are 4020/320,6665/7086
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 4020/320,6665/7086, numerators are 4020,6665
Denominators are 320,7086
The GCF of 4020,6665 is 5 .
LCM of 320,7086 is 1133760.
The greatest common factor of 4020/320,6665/7086 = [GCF of 4020,6665]/[LCM of 320,7086]= 5/1133760
Therefore, the GCF of 4020/320,6665/7086 is 5/1133760.
To find the highest common factor of 4020,6665, we have to find the factors of both numbers and list the highest common factor.
The factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The HCF of 4020,6665 is 5.
Lets's calculate GCF of 4020,6665
| 5 | 4020, 6665 |
| 804, 1333 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4020,6665 By Matching Biggest Common Factor Method
Now, list down the factors of 4020
:1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Greatest Common Factor
We found the factors 4020,6665 . The biggest common factor number is the GCF number.
So the greatest common factor 4020,6665 is 5.
Lets's calculate LCM of 320,7086
| 2 | 320, 7086 |
| 160, 3543 |
∴ So the LCM of the given numbers is 2 x 160 x 3543 = 1133760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1133760
Therefore, the GCF of Fractions 4020/320,6665/7086 is 5/1133760
Least Common Multiple of 320,7086 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 320,7086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,7086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,7086) x common factors =2 x 1 = 2
LCM(320,7086) = ( 320 × 7086 ) / 2
LCM(320,7086) = 2267520 / 2
LCM(320,7086) = 1133760
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FAQs on GCF of Fractions of 4020/320, 6665/7086
1. What is the HCF of 4020,6665?
The HCF of 4020,6665 is 5
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 4020/320, 6665/7086?
Answer: GCF of Numerators as per given numbers 4020/320, 6665/7086 is
GCF of Numerators i.e. for 4020,6665 is 5
LCM of denominators i.e. for 320,7086 is 1133760.
Thus, GCF of Fractions is 5/1133760.Finally, GCF of Fractions for 4020/320, 6665/7086 is 5/1133760.