GCF of 1587/125, 5319/6084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1587/125, 5319/6084 i.e 3/760500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1587/125, 5319/6084.
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 1587/125,5319/6084?
Given fractions are 1587/125,5319/6084
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 1587/125,5319/6084, numerators are 1587,5319
Denominators are 125,6084
The GCF of 1587,5319 is 3 .
LCM of 125,6084 is 760500.
The greatest common factor of 1587/125,5319/6084 = [GCF of 1587,5319]/[LCM of 125,6084]= 3/760500
Therefore, the GCF of 1587/125,5319/6084 is 3/760500.
To find the highest common factor of 1587,5319, we have to find the factors of both numbers and list the highest common factor.
The factors of 1587 are 1, 3, 23, 69, 529, 1587
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The HCF of 1587,5319 is 3.
Lets's calculate GCF of 1587,5319
| 3 | 1587, 5319 |
| 529, 1773 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1587,5319 By Matching Biggest Common Factor Method
Now, list down the factors of 1587
:1,3,23,69,529,1587
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Greatest Common Factor
We found the factors 1587,5319 . The biggest common factor number is the GCF number.
So the greatest common factor 1587,5319 is 3.
Lets's calculate LCM of 125,6084
Given numbers has no common factors except 1. So, there LCM is their product i.e 760500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/760500
Therefore, the GCF of Fractions 1587/125,5319/6084 is 3/760500
Least Common Multiple of 125,6084 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 125,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,6084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,6084) x common factors =1 x 1 = 1
LCM(125,6084) = ( 125 × 6084 ) / 1
LCM(125,6084) = 760500 / 1
LCM(125,6084) = 760500
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FAQs on GCF of Fractions of 1587/125, 5319/6084
1. What is the HCF of 1587,5319?
The HCF of 1587,5319 is 3
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 1587/125, 5319/6084?
Answer: GCF of Numerators as per given numbers 1587/125, 5319/6084 is
GCF of Numerators i.e. for 1587,5319 is 3
LCM of denominators i.e. for 125,6084 is 760500.
Thus, GCF of Fractions is 3/760500.Finally, GCF of Fractions for 1587/125, 5319/6084 is 3/760500.