Online GCD Calculator is useful to find the GCD of 420, 210, 61, 518 quickly. Get the easiest ways to solve the greatest common divisor of 420, 210, 61, 518 i.e 1 in different methods as follows.
Given Input numbers are 420, 210, 61, 518
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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 61 :
The positive integer divisors of 61 that completely divides 61 are.
1, 61
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (420, 210, 61, 518) = 1.
Given numbers are 420, 210, 61, 518
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 210 are 2 x 3 x 5 x 7
Prime factors of 61 are 61
Prime factors of 518 are 2 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 210, 61, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 210) = 420
GCD(420, 210) = ( 420 x 210 ) / 420
= 420 / 210
= 420
Step2:
LCM(210, 61) = 12810
GCD(210, 61) = ( 210 x 61 ) / 12810
= 210 / 61
= 210
Step3:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
So, Greatest Common Divisor of 420, 210, 61, 518 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 210, 61, 518
The greatest common divisor of numbers 420, 210, 61, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 210, 61, 518 is 1.
1. What is the GCD of 420, 210, 61, 518?
GCD of given numbers 420, 210, 61, 518 is 1
2. How to calculate the greatest common divisor of 420, 210, 61, 518?
We can find the highest common divisor of 420, 210, 61, 518 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, 210, 61, 518 i.e 1.
3. How can I use the GCD of 420, 210, 61, 518Calculator?
Out the numbers 420, 210, 61, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.