GCF of 7439/525, 3483/3285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7439/525, 3483/3285 i.e 43/114975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7439/525, 3483/3285.
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 7439/525,3483/3285?
Given fractions are 7439/525,3483/3285
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 7439/525,3483/3285, numerators are 7439,3483
Denominators are 525,3285
The GCF of 7439,3483 is 43 .
LCM of 525,3285 is 114975.
The greatest common factor of 7439/525,3483/3285 = [GCF of 7439,3483]/[LCM of 525,3285]= 43/114975
Therefore, the GCF of 7439/525,3483/3285 is 43/114975.
To find the highest common factor of 7439,3483, we have to find the factors of both numbers and list the highest common factor.
The factors of 7439 are 1, 43, 173, 7439
The factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483
The HCF of 7439,3483 is 43.
Lets's calculate GCF of 7439,3483
| 43 | 7439, 3483 |
| 173, 81 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 7439,3483 By Matching Biggest Common Factor Method
Now, list down the factors of 7439
:1,43,173,7439
Now, list down the factors of 3483
:1,3,9,27,43,81,129,387,1161,3483
Greatest Common Factor
We found the factors 7439,3483 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,3483 is 43.
Lets's calculate LCM of 525,3285
| 3 | 525, 3285 |
| 5 | 175, 1095 |
| 35, 219 |
∴ So the LCM of the given numbers is 3 x 5 x 35 x 219 = 114975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/114975
Therefore, the GCF of Fractions 7439/525,3483/3285 is 43/114975
Least Common Multiple of 525,3285 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 525,3285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,3285) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(525,3285) x common factors =15 x 1 = 15
LCM(525,3285) = ( 525 × 3285 ) / 15
LCM(525,3285) = 1724625 / 15
LCM(525,3285) = 114975
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FAQs on GCF of Fractions of 7439/525, 3483/3285
1. What is the HCF of 7439,3483?
The HCF of 7439,3483 is 43
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 7439/525, 3483/3285?
Answer: GCF of Numerators as per given numbers 7439/525, 3483/3285 is
GCF of Numerators i.e. for 7439,3483 is 43
LCM of denominators i.e. for 525,3285 is 114975.
Thus, GCF of Fractions is 43/114975.Finally, GCF of Fractions for 7439/525, 3483/3285 is 43/114975.