GCD of 320, 658, 338, 827 Calculator

Given Input numbers are 320, 658, 338, 827

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (320, 658, 338, 827) = 1.

Given numbers are 320, 658, 338, 827

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 658 are 2 x 7 x 47

Prime factors of 338 are 2 x 13 x 13

Prime factors of 827 are 827

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

Given numbers are 320, 658, 338, 827

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

Apply this formula for all numbers.

Step1:

LCM(320, 658) = 105280

GCD(320, 658) = ( 320 x 658 ) / 105280

= 320 / 658

= 320

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

So, Greatest Common Divisor of 320, 658, 338, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 578, 835, 240
• GCD of 130, 831, 989, 591
• GCD of 674, 560, 392, 939
• GCD of 660, 736, 109, 560
• GCD of 824, 578, 554, 632

Given numbers are 320, 658, 338, 827
The greatest common divisor of numbers 320, 658, 338, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 658, 338, 827 is 1.

1. What is the GCD of 320, 658, 338, 827?

GCD of given numbers 320, 658, 338, 827 is 1

2. How to calculate the greatest common divisor of 320, 658, 338, 827?

We can find the highest common divisor of 320, 658, 338, 827 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 320, 658, 338, 827 i.e 1.

3. How can I use the GCD of 320, 658, 338, 827Calculator?

Out the numbers 320, 658, 338, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.