GCD of 338, 221, 354, 940 Calculator

Given Input numbers are 338, 221, 354, 940

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (338, 221, 354, 940) = 1.

Given numbers are 338, 221, 354, 940

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 221 are 13 x 17

Prime factors of 354 are 2 x 3 x 59

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 338, 221, 354, 940

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

Apply this formula for all numbers.

Step1:

LCM(338, 221) = 5746

GCD(338, 221) = ( 338 x 221 ) / 5746

= 338 / 221

= 338

Step2:

LCM(13, 354) = 4602

GCD(13, 354) = ( 13 x 354 ) / 4602

= 13 / 354

= 13

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 338, 221, 354, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 683, 429, 801
• GCD of 199, 592, 312, 774
• GCD of 442, 961, 214, 331
• GCD of 103, 588, 734, 108
• GCD of 622, 167, 524, 164

Given numbers are 338, 221, 354, 940
The greatest common divisor of numbers 338, 221, 354, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 221, 354, 940 is 1.

1. What is the GCD of 338, 221, 354, 940?

GCD of given numbers 338, 221, 354, 940 is 1

2. How to calculate the greatest common divisor of 338, 221, 354, 940?

We can find the highest common divisor of 338, 221, 354, 940 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, 221, 354, 940 i.e 1.

3. How can I use the GCD of 338, 221, 354, 940Calculator?

Out the numbers 338, 221, 354, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.