GCD of 658, 290, 384, 920 Calculator

Given Input numbers are 658, 290, 384, 920

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

Divisors of 658 :

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

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (658, 290, 384, 920) = 2.

Given numbers are 658, 290, 384, 920

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 290 are 2 x 5 x 29

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 658, 290, 384, 920 is 2.

Given numbers are 658, 290, 384, 920

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

Apply this formula for all numbers.

Step1:

LCM(658, 290) = 95410

GCD(658, 290) = ( 658 x 290 ) / 95410

= 658 / 290

= 658

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 658, 290, 384, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 108, 501, 406
• GCD of 831, 541, 232, 689
• GCD of 925, 205, 461, 468
• GCD of 488, 976, 176, 173
• GCD of 582, 791, 497, 755

Given numbers are 658, 290, 384, 920
The greatest common divisor of numbers 658, 290, 384, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 290, 384, 920 is 2.

1. What is the GCD of 658, 290, 384, 920?

GCD of given numbers 658, 290, 384, 920 is 2

2. How to calculate the greatest common divisor of 658, 290, 384, 920?

We can find the highest common divisor of 658, 290, 384, 920 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 658, 290, 384, 920 i.e 2.

3. How can I use the GCD of 658, 290, 384, 920Calculator?

Out the numbers 658, 290, 384, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.