GCD of 208, 574, 429, 964 Calculator

Given Input numbers are 208, 574, 429, 964

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (208, 574, 429, 964) = 1.

Given numbers are 208, 574, 429, 964

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 574 are 2 x 7 x 41

Prime factors of 429 are 3 x 11 x 13

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 208, 574, 429, 964

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

Apply this formula for all numbers.

Step1:

LCM(208, 574) = 59696

GCD(208, 574) = ( 208 x 574 ) / 59696

= 208 / 574

= 208

Step2:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

So, Greatest Common Divisor of 208, 574, 429, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 171, 318, 774
• GCD of 301, 648, 440, 172
• GCD of 562, 655, 931, 302
• GCD of 407, 810, 207, 859
• GCD of 629, 422, 349, 415

Given numbers are 208, 574, 429, 964
The greatest common divisor of numbers 208, 574, 429, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 574, 429, 964 is 1.

1. What is the GCD of 208, 574, 429, 964?

GCD of given numbers 208, 574, 429, 964 is 1

2. How to calculate the greatest common divisor of 208, 574, 429, 964?

We can find the highest common divisor of 208, 574, 429, 964 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 208, 574, 429, 964 i.e 1.

3. How can I use the GCD of 208, 574, 429, 964Calculator?

Out the numbers 208, 574, 429, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.