GCF of 825/69, 499/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 825/69, 499/545 i.e 1/37605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/69, 499/545.
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 825/69,499/545?
Given fractions are 825/69,499/545
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 825/69,499/545, numerators are 825,499
Denominators are 69,545
The GCF of 825,499 is 1 .
LCM of 69,545 is 37605.
The greatest common factor of 825/69,499/545 = [GCF of 825,499]/[LCM of 69,545]= 1/37605
Therefore, the GCF of 825/69,499/545 is 1/37605.
To find the highest common factor of 825,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 499 are 1, 499
The HCF of 825,499 is 1.
Lets's calculate GCF of 825,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 825,499 By Matching Biggest Common Factor Method
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 825,499 . The biggest common factor number is the GCF number.
So the greatest common factor 825,499 is 1.
Lets's calculate LCM of 69,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 37605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37605
Therefore, the GCF of Fractions 825/69,499/545 is 1/37605
Least Common Multiple of 69,545 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 69,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,545) x common factors =1 x 1 = 1
LCM(69,545) = ( 69 × 545 ) / 1
LCM(69,545) = 37605 / 1
LCM(69,545) = 37605
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 825/69, 499/545
1. What is the HCF of 825,499?
The HCF of 825,499 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 825/69, 499/545?
Answer: GCF of Numerators as per given numbers 825/69, 499/545 is
GCF of Numerators i.e. for 825,499 is 1
LCM of denominators i.e. for 69,545 is 37605.
Thus, GCF of Fractions is 1/37605.Finally, GCF of Fractions for 825/69, 499/545 is 1/37605.