Online GCD Calculator is useful to find the GCD of 210, 272, 165, 974 quickly. Get the easiest ways to solve the greatest common divisor of 210, 272, 165, 974 i.e 1 in different methods as follows.
Given Input numbers are 210, 272, 165, 974
In the factoring method, we have to find the divisors of all numbers
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 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
GCD of numbers is the greatest common divisor
So, the GCD (210, 272, 165, 974) = 1.
Given numbers are 210, 272, 165, 974
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 165 are 3 x 5 x 11
Prime factors of 974 are 2 x 487
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 210, 272, 165, 974
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 272) = 28560
GCD(210, 272) = ( 210 x 272 ) / 28560
= 210 / 272
= 210
Step2:
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
= 2 / 165
= 2
Step3:
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
= 1 / 974
= 1
So, Greatest Common Divisor of 210, 272, 165, 974 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 272, 165, 974
The greatest common divisor of numbers 210, 272, 165, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 272, 165, 974 is 1.
1. What is the GCD of 210, 272, 165, 974?
GCD of given numbers 210, 272, 165, 974 is 1
2. How to calculate the greatest common divisor of 210, 272, 165, 974?
We can find the highest common divisor of 210, 272, 165, 974 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 210, 272, 165, 974 i.e 1.
3. How can I use the GCD of 210, 272, 165, 974Calculator?
Out the numbers 210, 272, 165, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.