GCD of 321, 258, 698, 746 Calculator

Given Input numbers are 321, 258, 698, 746

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (321, 258, 698, 746) = 1.

Given numbers are 321, 258, 698, 746

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 258 are 2 x 3 x 43

Prime factors of 698 are 2 x 349

Prime factors of 746 are 2 x 373

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

Given numbers are 321, 258, 698, 746

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

Apply this formula for all numbers.

Step1:

LCM(321, 258) = 27606

GCD(321, 258) = ( 321 x 258 ) / 27606

= 321 / 258

= 321

Step2:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 321, 258, 698, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 674, 387, 464
• GCD of 391, 767, 695, 619
• GCD of 884, 731, 571, 264
• GCD of 114, 166, 375, 106
• GCD of 919, 361, 430, 401

Given numbers are 321, 258, 698, 746
The greatest common divisor of numbers 321, 258, 698, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 258, 698, 746 is 1.

1. What is the GCD of 321, 258, 698, 746?

GCD of given numbers 321, 258, 698, 746 is 1

2. How to calculate the greatest common divisor of 321, 258, 698, 746?

We can find the highest common divisor of 321, 258, 698, 746 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 321, 258, 698, 746 i.e 1.

3. How can I use the GCD of 321, 258, 698, 746Calculator?

Out the numbers 321, 258, 698, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.