GCF of 1509/206, 1594/4508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1509/206, 1594/4508 i.e 1/464324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1509/206, 1594/4508.
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 1509/206,1594/4508?
Given fractions are 1509/206,1594/4508
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 1509/206,1594/4508, numerators are 1509,1594
Denominators are 206,4508
The GCF of 1509,1594 is 1 .
LCM of 206,4508 is 464324.
The greatest common factor of 1509/206,1594/4508 = [GCF of 1509,1594]/[LCM of 206,4508]= 1/464324
Therefore, the GCF of 1509/206,1594/4508 is 1/464324.
To find the highest common factor of 1509,1594, we have to find the factors of both numbers and list the highest common factor.
The factors of 1509 are 1, 3, 503, 1509
The factors of 1594 are 1, 2, 797, 1594
The HCF of 1509,1594 is 1.
Lets's calculate GCF of 1509,1594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1509,1594 By Matching Biggest Common Factor Method
Now, list down the factors of 1509
:1,3,503,1509
Now, list down the factors of 1594
:1,2,797,1594
Greatest Common Factor
We found the factors 1509,1594 . The biggest common factor number is the GCF number.
So the greatest common factor 1509,1594 is 1.
Lets's calculate LCM of 206,4508
| 2 | 206, 4508 |
| 103, 2254 |
∴ So the LCM of the given numbers is 2 x 103 x 2254 = 464324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464324
Therefore, the GCF of Fractions 1509/206,1594/4508 is 1/464324
Least Common Multiple of 206,4508 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 206,4508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,4508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,4508) x common factors =2 x 1 = 2
LCM(206,4508) = ( 206 × 4508 ) / 2
LCM(206,4508) = 928648 / 2
LCM(206,4508) = 464324
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FAQs on GCF of Fractions of 1509/206, 1594/4508
1. What is the HCF of 1509,1594?
The HCF of 1509,1594 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 1509/206, 1594/4508?
Answer: GCF of Numerators as per given numbers 1509/206, 1594/4508 is
GCF of Numerators i.e. for 1509,1594 is 1
LCM of denominators i.e. for 206,4508 is 464324.
Thus, GCF of Fractions is 1/464324.Finally, GCF of Fractions for 1509/206, 1594/4508 is 1/464324.