GCD of 357, 521, 338, 289 Calculator

Given Input numbers are 357, 521, 338, 289

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (357, 521, 338, 289) = 1.

Given numbers are 357, 521, 338, 289

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 521 are 521

Prime factors of 338 are 2 x 13 x 13

Prime factors of 289 are 17 x 17

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

Given numbers are 357, 521, 338, 289

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

Apply this formula for all numbers.

Step1:

LCM(357, 521) = 185997

GCD(357, 521) = ( 357 x 521 ) / 185997

= 357 / 521

= 357

Step2:

LCM(1, 338) = 338

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

= 1 / 338

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 357, 521, 338, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 344, 219, 824
• GCD of 795, 309, 977, 171
• GCD of 313, 339, 325, 504
• GCD of 649, 662, 479, 154
• GCD of 477, 705, 376, 475

Given numbers are 357, 521, 338, 289
The greatest common divisor of numbers 357, 521, 338, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 521, 338, 289 is 1.

1. What is the GCD of 357, 521, 338, 289?

GCD of given numbers 357, 521, 338, 289 is 1

2. How to calculate the greatest common divisor of 357, 521, 338, 289?

We can find the highest common divisor of 357, 521, 338, 289 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 357, 521, 338, 289 i.e 1.

3. How can I use the GCD of 357, 521, 338, 289Calculator?

Out the numbers 357, 521, 338, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.