Online GCD Calculator is useful to find the GCD of 820, 370, 210, 213 quickly. Get the easiest ways to solve the greatest common divisor of 820, 370, 210, 213 i.e 1 in different methods as follows.
Given Input numbers are 820, 370, 210, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
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 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (820, 370, 210, 213) = 1.
Given numbers are 820, 370, 210, 213
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 370 are 2 x 5 x 37
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 370, 210, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 370) = 30340
GCD(820, 370) = ( 820 x 370 ) / 30340
= 820 / 370
= 820
Step2:
LCM(10, 210) = 210
GCD(10, 210) = ( 10 x 210 ) / 210
= 10 / 210
= 10
Step3:
LCM(10, 213) = 2130
GCD(10, 213) = ( 10 x 213 ) / 2130
= 10 / 213
= 10
So, Greatest Common Divisor of 820, 370, 210, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 370, 210, 213
The greatest common divisor of numbers 820, 370, 210, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 370, 210, 213 is 1.
1. What is the GCD of 820, 370, 210, 213?
GCD of given numbers 820, 370, 210, 213 is 1
2. How to calculate the greatest common divisor of 820, 370, 210, 213?
We can find the highest common divisor of 820, 370, 210, 213 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 820, 370, 210, 213 i.e 1.
3. How can I use the GCD of 820, 370, 210, 213Calculator?
Out the numbers 820, 370, 210, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.