GCF of 1585/581, 1520/3473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1585/581, 1520/3473 i.e 5/2017813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1585/581, 1520/3473.
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 1585/581,1520/3473?
Given fractions are 1585/581,1520/3473
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 1585/581,1520/3473, numerators are 1585,1520
Denominators are 581,3473
The GCF of 1585,1520 is 5 .
LCM of 581,3473 is 2017813.
The greatest common factor of 1585/581,1520/3473 = [GCF of 1585,1520]/[LCM of 581,3473]= 5/2017813
Therefore, the GCF of 1585/581,1520/3473 is 5/2017813.
To find the highest common factor of 1585,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 1585 are 1, 5, 317, 1585
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 1585,1520 is 5.
Lets's calculate GCF of 1585,1520
| 5 | 1585, 1520 |
| 317, 304 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1585,1520 By Matching Biggest Common Factor Method
Now, list down the factors of 1585
:1,5,317,1585
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 1585,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 1585,1520 is 5.
Lets's calculate LCM of 581,3473
Given numbers has no common factors except 1. So, there LCM is their product i.e 2017813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2017813
Therefore, the GCF of Fractions 1585/581,1520/3473 is 5/2017813
Least Common Multiple of 581,3473 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 581,3473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,3473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,3473) x common factors =1 x 1 = 1
LCM(581,3473) = ( 581 × 3473 ) / 1
LCM(581,3473) = 2017813 / 1
LCM(581,3473) = 2017813
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1585/581, 1520/3473
1. What is the HCF of 1585,1520?
The HCF of 1585,1520 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 1585/581, 1520/3473?
Answer: GCF of Numerators as per given numbers 1585/581, 1520/3473 is
GCF of Numerators i.e. for 1585,1520 is 5
LCM of denominators i.e. for 581,3473 is 2017813.
Thus, GCF of Fractions is 5/2017813.Finally, GCF of Fractions for 1585/581, 1520/3473 is 5/2017813.