GCF of 4055/805, 2070/8021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4055/805, 2070/8021 i.e 5/6456905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4055/805, 2070/8021.
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 4055/805,2070/8021?
Given fractions are 4055/805,2070/8021
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 4055/805,2070/8021, numerators are 4055,2070
Denominators are 805,8021
The GCF of 4055,2070 is 5 .
LCM of 805,8021 is 6456905.
The greatest common factor of 4055/805,2070/8021 = [GCF of 4055,2070]/[LCM of 805,8021]= 5/6456905
Therefore, the GCF of 4055/805,2070/8021 is 5/6456905.
To find the highest common factor of 4055,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 4055 are 1, 5, 811, 4055
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 4055,2070 is 5.
Lets's calculate GCF of 4055,2070
| 5 | 4055, 2070 |
| 811, 414 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4055,2070 By Matching Biggest Common Factor Method
Now, list down the factors of 4055
:1,5,811,4055
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 4055,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 4055,2070 is 5.
Lets's calculate LCM of 805,8021
Given numbers has no common factors except 1. So, there LCM is their product i.e 6456905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6456905
Therefore, the GCF of Fractions 4055/805,2070/8021 is 5/6456905
Least Common Multiple of 805,8021 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 805,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,8021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,8021) x common factors =1 x 1 = 1
LCM(805,8021) = ( 805 × 8021 ) / 1
LCM(805,8021) = 6456905 / 1
LCM(805,8021) = 6456905
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FAQs on GCF of Fractions of 4055/805, 2070/8021
1. What is the HCF of 4055,2070?
The HCF of 4055,2070 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 4055/805, 2070/8021?
Answer: GCF of Numerators as per given numbers 4055/805, 2070/8021 is
GCF of Numerators i.e. for 4055,2070 is 5
LCM of denominators i.e. for 805,8021 is 6456905.
Thus, GCF of Fractions is 5/6456905.Finally, GCF of Fractions for 4055/805, 2070/8021 is 5/6456905.