Online GCD Calculator is useful to find the GCD of 420, 141, 297, 825 quickly. Get the easiest ways to solve the greatest common divisor of 420, 141, 297, 825 i.e 3 in different methods as follows.
Given Input numbers are 420, 141, 297, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (420, 141, 297, 825) = 3.
Given numbers are 420, 141, 297, 825
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 141 are 3 x 47
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 420, 141, 297, 825 is 3.
Given numbers are 420, 141, 297, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 141) = 19740
GCD(420, 141) = ( 420 x 141 ) / 19740
= 420 / 141
= 420
Step2:
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
= 3 / 297
= 3
Step3:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
So, Greatest Common Divisor of 420, 141, 297, 825 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 141, 297, 825
The greatest common divisor of numbers 420, 141, 297, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 141, 297, 825 is 3.
1. What is the GCD of 420, 141, 297, 825?
GCD of given numbers 420, 141, 297, 825 is 3
2. How to calculate the greatest common divisor of 420, 141, 297, 825?
We can find the highest common divisor of 420, 141, 297, 825 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 420, 141, 297, 825 i.e 3.
3. How can I use the GCD of 420, 141, 297, 825Calculator?
Out the numbers 420, 141, 297, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.