GCD of 704, 100, 590, 469 Calculator

Given Input numbers are 704, 100, 590, 469

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (704, 100, 590, 469) = 1.

Given numbers are 704, 100, 590, 469

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 590 are 2 x 5 x 59

Prime factors of 469 are 7 x 67

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

Given numbers are 704, 100, 590, 469

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

Apply this formula for all numbers.

Step1:

LCM(704, 100) = 17600

GCD(704, 100) = ( 704 x 100 ) / 17600

= 704 / 100

= 704

Step2:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

Step3:

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

= 2 / 469

= 2

So, Greatest Common Divisor of 704, 100, 590, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 903, 566, 411
• GCD of 103, 452, 361, 718
• GCD of 830, 413, 907, 907
• GCD of 871, 337, 161, 209
• GCD of 334, 388, 104, 559

Given numbers are 704, 100, 590, 469
The greatest common divisor of numbers 704, 100, 590, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 100, 590, 469 is 1.

1. What is the GCD of 704, 100, 590, 469?

GCD of given numbers 704, 100, 590, 469 is 1

2. How to calculate the greatest common divisor of 704, 100, 590, 469?

We can find the highest common divisor of 704, 100, 590, 469 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 704, 100, 590, 469 i.e 1.

3. How can I use the GCD of 704, 100, 590, 469Calculator?

Out the numbers 704, 100, 590, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.