GCD of 699, 172, 338, 739 Calculator

Given Input numbers are 699, 172, 338, 739

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (699, 172, 338, 739) = 1.

Given numbers are 699, 172, 338, 739

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 172 are 2 x 2 x 43

Prime factors of 338 are 2 x 13 x 13

Prime factors of 739 are 739

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

Given numbers are 699, 172, 338, 739

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

Apply this formula for all numbers.

Step1:

LCM(699, 172) = 120228

GCD(699, 172) = ( 699 x 172 ) / 120228

= 699 / 172

= 699

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

So, Greatest Common Divisor of 699, 172, 338, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 848, 137, 443
• GCD of 877, 261, 718, 856
• GCD of 739, 226, 433, 338
• GCD of 265, 382, 916, 498
• GCD of 502, 900, 431, 255

Given numbers are 699, 172, 338, 739
The greatest common divisor of numbers 699, 172, 338, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 172, 338, 739 is 1.

1. What is the GCD of 699, 172, 338, 739?

GCD of given numbers 699, 172, 338, 739 is 1

2. How to calculate the greatest common divisor of 699, 172, 338, 739?

We can find the highest common divisor of 699, 172, 338, 739 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 699, 172, 338, 739 i.e 1.

3. How can I use the GCD of 699, 172, 338, 739Calculator?

Out the numbers 699, 172, 338, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.