GCF of 8020/386, 1460/8179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8020/386, 1460/8179 i.e 20/3157094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8020/386, 1460/8179.
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 8020/386,1460/8179?
Given fractions are 8020/386,1460/8179
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 8020/386,1460/8179, numerators are 8020,1460
Denominators are 386,8179
The GCF of 8020,1460 is 20 .
LCM of 386,8179 is 3157094.
The greatest common factor of 8020/386,1460/8179 = [GCF of 8020,1460]/[LCM of 386,8179]= 20/3157094
Therefore, the GCF of 8020/386,1460/8179 is 20/3157094.
To find the highest common factor of 8020,1460, we have to find the factors of both numbers and list the highest common factor.
The factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020
The factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460
The HCF of 8020,1460 is 20.
Lets's calculate GCF of 8020,1460
| 2 | 8020, 1460 |
| 2 | 4010, 730 |
| 5 | 2005, 365 |
| 401, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8020,1460 By Matching Biggest Common Factor Method
Now, list down the factors of 8020
:1,2,4,5,10,20,401,802,1604,2005,4010,8020
Now, list down the factors of 1460
:1,2,4,5,10,20,73,146,292,365,730,1460
Greatest Common Factor
We found the factors 8020,1460 . The biggest common factor number is the GCF number.
So the greatest common factor 8020,1460 is 20.
Lets's calculate LCM of 386,8179
Given numbers has no common factors except 1. So, there LCM is their product i.e 3157094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/3157094
Therefore, the GCF of Fractions 8020/386,1460/8179 is 20/3157094
Least Common Multiple of 386,8179 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 386,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,8179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,8179) x common factors =1 x 1 = 1
LCM(386,8179) = ( 386 × 8179 ) / 1
LCM(386,8179) = 3157094 / 1
LCM(386,8179) = 3157094
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FAQs on GCF of Fractions of 8020/386, 1460/8179
1. What is the HCF of 8020,1460?
The HCF of 8020,1460 is 20
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 8020/386, 1460/8179?
Answer: GCF of Numerators as per given numbers 8020/386, 1460/8179 is
GCF of Numerators i.e. for 8020,1460 is 20
LCM of denominators i.e. for 386,8179 is 3157094.
Thus, GCF of Fractions is 20/3157094.Finally, GCF of Fractions for 8020/386, 1460/8179 is 20/3157094.