GCD of 229, 164, 916, 977 Calculator

Given Input numbers are 229, 164, 916, 977

In the factoring method, we have to find the divisors of all numbers

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (229, 164, 916, 977) = 1.

Given numbers are 229, 164, 916, 977

The list of prime factors of all numbers are

Prime factors of 229 are 229

Prime factors of 164 are 2 x 2 x 41

Prime factors of 916 are 2 x 2 x 229

Prime factors of 977 are 977

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 229, 164, 916, 977

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(229, 164) = 37556

GCD(229, 164) = ( 229 x 164 ) / 37556

= 229 / 164

= 229

Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 229, 164, 916, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 172, 763, 266
• GCD of 792, 976, 597, 291
• GCD of 715, 311, 808, 958
• GCD of 250, 613, 381, 205
• GCD of 583, 774, 529, 914

Given numbers are 229, 164, 916, 977
The greatest common divisor of numbers 229, 164, 916, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 164, 916, 977 is 1.

1. What is the GCD of 229, 164, 916, 977?

GCD of given numbers 229, 164, 916, 977 is 1

2. How to calculate the greatest common divisor of 229, 164, 916, 977?

We can find the highest common divisor of 229, 164, 916, 977 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 229, 164, 916, 977 i.e 1.

3. How can I use the GCD of 229, 164, 916, 977Calculator?

Out the numbers 229, 164, 916, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.