GCF of 8044/160, 8070/6519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8044/160, 8070/6519 i.e 2/1043040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8044/160, 8070/6519.
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 8044/160,8070/6519?
Given fractions are 8044/160,8070/6519
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 8044/160,8070/6519, numerators are 8044,8070
Denominators are 160,6519
The GCF of 8044,8070 is 2 .
LCM of 160,6519 is 1043040.
The greatest common factor of 8044/160,8070/6519 = [GCF of 8044,8070]/[LCM of 160,6519]= 2/1043040
Therefore, the GCF of 8044/160,8070/6519 is 2/1043040.
To find the highest common factor of 8044,8070, we have to find the factors of both numbers and list the highest common factor.
The factors of 8044 are 1, 2, 4, 2011, 4022, 8044
The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070
The HCF of 8044,8070 is 2.
Lets's calculate GCF of 8044,8070
| 2 | 8044, 8070 |
| 4022, 4035 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8044,8070 By Matching Biggest Common Factor Method
Now, list down the factors of 8044
:1,2,4,2011,4022,8044
Now, list down the factors of 8070
:1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070
Greatest Common Factor
We found the factors 8044,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 8044,8070 is 2.
Lets's calculate LCM of 160,6519
Given numbers has no common factors except 1. So, there LCM is their product i.e 1043040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1043040
Therefore, the GCF of Fractions 8044/160,8070/6519 is 2/1043040
Least Common Multiple of 160,6519 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 160,6519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,6519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,6519) x common factors =1 x 1 = 1
LCM(160,6519) = ( 160 × 6519 ) / 1
LCM(160,6519) = 1043040 / 1
LCM(160,6519) = 1043040
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FAQs on GCF of Fractions of 8044/160, 8070/6519
1. What is the HCF of 8044,8070?
The HCF of 8044,8070 is 2
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 8044/160, 8070/6519?
Answer: GCF of Numerators as per given numbers 8044/160, 8070/6519 is
GCF of Numerators i.e. for 8044,8070 is 2
LCM of denominators i.e. for 160,6519 is 1043040.
Thus, GCF of Fractions is 2/1043040.Finally, GCF of Fractions for 8044/160, 8070/6519 is 2/1043040.