GCF of 539/82, 819/6875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 539/82, 819/6875 i.e 7/563750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/82, 819/6875.
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 539/82,819/6875?
Given fractions are 539/82,819/6875
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 539/82,819/6875, numerators are 539,819
Denominators are 82,6875
The GCF of 539,819 is 7 .
LCM of 82,6875 is 563750.
The greatest common factor of 539/82,819/6875 = [GCF of 539,819]/[LCM of 82,6875]= 7/563750
Therefore, the GCF of 539/82,819/6875 is 7/563750.
To find the highest common factor of 539,819, we have to find the factors of both numbers and list the highest common factor.
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The HCF of 539,819 is 7.
Lets's calculate GCF of 539,819
| 7 | 539, 819 |
| 77, 117 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 539,819 By Matching Biggest Common Factor Method
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 539,819 . The biggest common factor number is the GCF number.
So the greatest common factor 539,819 is 7.
Lets's calculate LCM of 82,6875
Given numbers has no common factors except 1. So, there LCM is their product i.e 563750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/563750
Therefore, the GCF of Fractions 539/82,819/6875 is 7/563750
Least Common Multiple of 82,6875 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 82,6875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,6875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,6875) x common factors =1 x 1 = 1
LCM(82,6875) = ( 82 × 6875 ) / 1
LCM(82,6875) = 563750 / 1
LCM(82,6875) = 563750
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FAQs on GCF of Fractions of 539/82, 819/6875
1. What is the HCF of 539,819?
The HCF of 539,819 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 539/82, 819/6875?
Answer: GCF of Numerators as per given numbers 539/82, 819/6875 is
GCF of Numerators i.e. for 539,819 is 7
LCM of denominators i.e. for 82,6875 is 563750.
Thus, GCF of Fractions is 7/563750.Finally, GCF of Fractions for 539/82, 819/6875 is 7/563750.