GCF of 7539/204, 3283/1987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7539/204, 3283/1987 i.e 7/405348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7539/204, 3283/1987.
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 7539/204,3283/1987?
Given fractions are 7539/204,3283/1987
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 7539/204,3283/1987, numerators are 7539,3283
Denominators are 204,1987
The GCF of 7539,3283 is 7 .
LCM of 204,1987 is 405348.
The greatest common factor of 7539/204,3283/1987 = [GCF of 7539,3283]/[LCM of 204,1987]= 7/405348
Therefore, the GCF of 7539/204,3283/1987 is 7/405348.
To find the highest common factor of 7539,3283, we have to find the factors of both numbers and list the highest common factor.
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The factors of 3283 are 1, 7, 49, 67, 469, 3283
The HCF of 7539,3283 is 7.
Lets's calculate GCF of 7539,3283
| 7 | 7539, 3283 |
| 1077, 469 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7539,3283 By Matching Biggest Common Factor Method
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Now, list down the factors of 3283
:1,7,49,67,469,3283
Greatest Common Factor
We found the factors 7539,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 7539,3283 is 7.
Lets's calculate LCM of 204,1987
Given numbers has no common factors except 1. So, there LCM is their product i.e 405348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/405348
Therefore, the GCF of Fractions 7539/204,3283/1987 is 7/405348
Least Common Multiple of 204,1987 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 204,1987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1987) x common factors =1 x 1 = 1
LCM(204,1987) = ( 204 × 1987 ) / 1
LCM(204,1987) = 405348 / 1
LCM(204,1987) = 405348
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FAQs on GCF of Fractions of 7539/204, 3283/1987
1. What is the HCF of 7539,3283?
The HCF of 7539,3283 is 7
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 7539/204, 3283/1987?
Answer: GCF of Numerators as per given numbers 7539/204, 3283/1987 is
GCF of Numerators i.e. for 7539,3283 is 7
LCM of denominators i.e. for 204,1987 is 405348.
Thus, GCF of Fractions is 7/405348.Finally, GCF of Fractions for 7539/204, 3283/1987 is 7/405348.