GCF of 1589/434, 1640/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1589/434, 1640/620 i.e 1/4340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1589/434, 1640/620.
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 1589/434,1640/620?
Given fractions are 1589/434,1640/620
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 1589/434,1640/620, numerators are 1589,1640
Denominators are 434,620
The GCF of 1589,1640 is 1 .
LCM of 434,620 is 4340.
The greatest common factor of 1589/434,1640/620 = [GCF of 1589,1640]/[LCM of 434,620]= 1/4340
Therefore, the GCF of 1589/434,1640/620 is 1/4340.
To find the highest common factor of 1589,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1589 are 1, 7, 227, 1589
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 1589,1640 is 1.
Lets's calculate GCF of 1589,1640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1589,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 1589
:1,7,227,1589
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 1589,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,1640 is 1.
Lets's calculate LCM of 434,620
| 2 | 434, 620 |
| 31 | 217, 310 |
| 7, 10 |
∴ So the LCM of the given numbers is 2 x 31 x 7 x 10 = 4340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4340
Therefore, the GCF of Fractions 1589/434,1640/620 is 1/4340
Least Common Multiple of 434,620 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 434,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,620) = 62
common factors(in case of two or more numbers have common factors) = 1
GCF(434,620) x common factors =62 x 1 = 62
LCM(434,620) = ( 434 × 620 ) / 62
LCM(434,620) = 269080 / 62
LCM(434,620) = 4340
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FAQs on GCF of Fractions of 1589/434, 1640/620
1. What is the HCF of 1589,1640?
The HCF of 1589,1640 is 1
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 1589/434, 1640/620?
Answer: GCF of Numerators as per given numbers 1589/434, 1640/620 is
GCF of Numerators i.e. for 1589,1640 is 1
LCM of denominators i.e. for 434,620 is 4340.
Thus, GCF of Fractions is 1/4340.Finally, GCF of Fractions for 1589/434, 1640/620 is 1/4340.