GCD of 354, 836, 138, 640 Calculator

Given Input numbers are 354, 836, 138, 640

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

Divisors of 354 :

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

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

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD of numbers is the greatest common divisor

So, the GCD (354, 836, 138, 640) = 2.

Given numbers are 354, 836, 138, 640

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 354, 836, 138, 640 is 2.

Given numbers are 354, 836, 138, 640

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

Apply this formula for all numbers.

Step1:

LCM(354, 836) = 147972

GCD(354, 836) = ( 354 x 836 ) / 147972

= 354 / 836

= 354

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

= 2 / 640

= 2

So, Greatest Common Divisor of 354, 836, 138, 640 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 869, 590, 695
• GCD of 406, 686, 451, 604
• GCD of 505, 586, 456, 292
• GCD of 994, 869, 427, 651
• GCD of 212, 777, 355, 877

Given numbers are 354, 836, 138, 640
The greatest common divisor of numbers 354, 836, 138, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 836, 138, 640 is 2.

1. What is the GCD of 354, 836, 138, 640?

GCD of given numbers 354, 836, 138, 640 is 2

2. How to calculate the greatest common divisor of 354, 836, 138, 640?

We can find the highest common divisor of 354, 836, 138, 640 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 354, 836, 138, 640 i.e 2.

3. How can I use the GCD of 354, 836, 138, 640Calculator?

Out the numbers 354, 836, 138, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.