GCD of 704, 122, 731, 617 Calculator

Given Input numbers are 704, 122, 731, 617

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

GCD of numbers is the greatest common divisor

So, the GCD (704, 122, 731, 617) = 1.

Given numbers are 704, 122, 731, 617

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 122 are 2 x 61

Prime factors of 731 are 17 x 43

Prime factors of 617 are 617

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

Given numbers are 704, 122, 731, 617

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

Apply this formula for all numbers.

Step1:

LCM(704, 122) = 42944

GCD(704, 122) = ( 704 x 122 ) / 42944

= 704 / 122

= 704

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1

So, Greatest Common Divisor of 704, 122, 731, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 967, 949, 163
• GCD of 412, 766, 264, 274
• GCD of 389, 846, 346, 491
• GCD of 200, 545, 283, 465
• GCD of 837, 657, 937, 337

Given numbers are 704, 122, 731, 617
The greatest common divisor of numbers 704, 122, 731, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 122, 731, 617 is 1.

1. What is the GCD of 704, 122, 731, 617?

GCD of given numbers 704, 122, 731, 617 is 1

2. How to calculate the greatest common divisor of 704, 122, 731, 617?

We can find the highest common divisor of 704, 122, 731, 617 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, 122, 731, 617 i.e 1.

3. How can I use the GCD of 704, 122, 731, 617Calculator?

Out the numbers 704, 122, 731, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.