Online GCD Calculator is useful to find the GCD of 289, 820, 149, 652 quickly. Get the easiest ways to solve the greatest common divisor of 289, 820, 149, 652 i.e 1 in different methods as follows.
Given Input numbers are 289, 820, 149, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
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 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (289, 820, 149, 652) = 1.
Given numbers are 289, 820, 149, 652
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 149 are 149
Prime factors of 652 are 2 x 2 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 820, 149, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 820) = 236980
GCD(289, 820) = ( 289 x 820 ) / 236980
= 289 / 820
= 289
Step2:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
Step3:
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
= 1 / 652
= 1
So, Greatest Common Divisor of 289, 820, 149, 652 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 820, 149, 652
The greatest common divisor of numbers 289, 820, 149, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 820, 149, 652 is 1.
1. What is the GCD of 289, 820, 149, 652?
GCD of given numbers 289, 820, 149, 652 is 1
2. How to calculate the greatest common divisor of 289, 820, 149, 652?
We can find the highest common divisor of 289, 820, 149, 652 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 289, 820, 149, 652 i.e 1.
3. How can I use the GCD of 289, 820, 149, 652Calculator?
Out the numbers 289, 820, 149, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.