Online GCD Calculator is useful to find the GCD of 546, 469, 200, 420 quickly. Get the easiest ways to solve the greatest common divisor of 546, 469, 200, 420 i.e 1 in different methods as follows.
Given Input numbers are 546, 469, 200, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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
GCD of numbers is the greatest common divisor
So, the GCD (546, 469, 200, 420) = 1.
Given numbers are 546, 469, 200, 420
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 469 are 7 x 67
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 546, 469, 200, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 469) = 36582
GCD(546, 469) = ( 546 x 469 ) / 36582
= 546 / 469
= 546
Step2:
LCM(7, 200) = 1400
GCD(7, 200) = ( 7 x 200 ) / 1400
= 7 / 200
= 7
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 546, 469, 200, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 469, 200, 420
The greatest common divisor of numbers 546, 469, 200, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 469, 200, 420 is 1.
1. What is the GCD of 546, 469, 200, 420?
GCD of given numbers 546, 469, 200, 420 is 1
2. How to calculate the greatest common divisor of 546, 469, 200, 420?
We can find the highest common divisor of 546, 469, 200, 420 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 546, 469, 200, 420 i.e 1.
3. How can I use the GCD of 546, 469, 200, 420Calculator?
Out the numbers 546, 469, 200, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.