GCD of 840, 358, 108, 658 Calculator

Given Input numbers are 840, 358, 108, 658

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 658 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (840, 358, 108, 658) = 2.

Given numbers are 840, 358, 108, 658

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 358 are 2 x 179

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 840, 358, 108, 658 is 2.

Given numbers are 840, 358, 108, 658

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

Apply this formula for all numbers.

Step1:

LCM(840, 358) = 150360

GCD(840, 358) = ( 840 x 358 ) / 150360

= 840 / 358

= 840

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 840, 358, 108, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 781, 415, 518
• GCD of 475, 758, 797, 327
• GCD of 220, 155, 827, 229
• GCD of 388, 614, 675, 756
• GCD of 315, 749, 983, 743

Given numbers are 840, 358, 108, 658
The greatest common divisor of numbers 840, 358, 108, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 358, 108, 658 is 2.

1. What is the GCD of 840, 358, 108, 658?

GCD of given numbers 840, 358, 108, 658 is 2

2. How to calculate the greatest common divisor of 840, 358, 108, 658?

We can find the highest common divisor of 840, 358, 108, 658 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 840, 358, 108, 658 i.e 2.

3. How can I use the GCD of 840, 358, 108, 658Calculator?

Out the numbers 840, 358, 108, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.