GCD of 164, 772, 278, 829 Calculator

Given Input numbers are 164, 772, 278, 829

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

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (164, 772, 278, 829) = 1.

Given numbers are 164, 772, 278, 829

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 772 are 2 x 2 x 193

Prime factors of 278 are 2 x 139

Prime factors of 829 are 829

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

Given numbers are 164, 772, 278, 829

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

Apply this formula for all numbers.

Step1:

LCM(164, 772) = 31652

GCD(164, 772) = ( 164 x 772 ) / 31652

= 164 / 772

= 164

Step2:

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

= 4 / 278

= 4

Step3:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

So, Greatest Common Divisor of 164, 772, 278, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 680, 789, 642
• GCD of 833, 535, 827, 186
• GCD of 928, 432, 111, 989
• GCD of 487, 270, 349, 164
• GCD of 949, 597, 511, 368

Given numbers are 164, 772, 278, 829
The greatest common divisor of numbers 164, 772, 278, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 772, 278, 829 is 1.

1. What is the GCD of 164, 772, 278, 829?

GCD of given numbers 164, 772, 278, 829 is 1

2. How to calculate the greatest common divisor of 164, 772, 278, 829?

We can find the highest common divisor of 164, 772, 278, 829 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 164, 772, 278, 829 i.e 1.

3. How can I use the GCD of 164, 772, 278, 829Calculator?

Out the numbers 164, 772, 278, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.