GCD of 704, 998, 747, 556 Calculator

Given Input numbers are 704, 998, 747, 556

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (704, 998, 747, 556) = 1.

Given numbers are 704, 998, 747, 556

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 998 are 2 x 499

Prime factors of 747 are 3 x 3 x 83

Prime factors of 556 are 2 x 2 x 139

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

Given numbers are 704, 998, 747, 556

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

Apply this formula for all numbers.

Step1:

LCM(704, 998) = 351296

GCD(704, 998) = ( 704 x 998 ) / 351296

= 704 / 998

= 704

Step2:

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

= 2 / 747

= 2

Step3:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1

So, Greatest Common Divisor of 704, 998, 747, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 131, 345, 588
• GCD of 852, 416, 456, 796
• GCD of 607, 459, 730, 667
• GCD of 209, 603, 521, 730
• GCD of 376, 229, 277, 789

Given numbers are 704, 998, 747, 556
The greatest common divisor of numbers 704, 998, 747, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 998, 747, 556 is 1.

1. What is the GCD of 704, 998, 747, 556?

GCD of given numbers 704, 998, 747, 556 is 1

2. How to calculate the greatest common divisor of 704, 998, 747, 556?

We can find the highest common divisor of 704, 998, 747, 556 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, 998, 747, 556 i.e 1.

3. How can I use the GCD of 704, 998, 747, 556Calculator?

Out the numbers 704, 998, 747, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.