GCD of 338, 208, 504, 637 Calculator

Given Input numbers are 338, 208, 504, 637

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

GCD of numbers is the greatest common divisor

So, the GCD (338, 208, 504, 637) = 1.

Given numbers are 338, 208, 504, 637

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 637 are 7 x 7 x 13

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

Given numbers are 338, 208, 504, 637

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

Apply this formula for all numbers.

Step1:

LCM(338, 208) = 2704

GCD(338, 208) = ( 338 x 208 ) / 2704

= 338 / 208

= 338

Step2:

LCM(26, 504) = 6552

GCD(26, 504) = ( 26 x 504 ) / 6552

= 26 / 504

= 26

Step3:

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

= 2 / 637

= 2

So, Greatest Common Divisor of 338, 208, 504, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 391, 255, 536
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• GCD of 812, 333, 784, 781
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• GCD of 959, 526, 247, 557

Given numbers are 338, 208, 504, 637
The greatest common divisor of numbers 338, 208, 504, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 208, 504, 637 is 1.

1. What is the GCD of 338, 208, 504, 637?

GCD of given numbers 338, 208, 504, 637 is 1

2. How to calculate the greatest common divisor of 338, 208, 504, 637?

We can find the highest common divisor of 338, 208, 504, 637 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 338, 208, 504, 637 i.e 1.

3. How can I use the GCD of 338, 208, 504, 637Calculator?

Out the numbers 338, 208, 504, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.