GCD of 554, 400, 790, 352 Calculator

Given Input numbers are 554, 400, 790, 352

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (554, 400, 790, 352) = 2.

Given numbers are 554, 400, 790, 352

The list of prime factors of all numbers are

Prime factors of 554 are 2 x 277

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 790 are 2 x 5 x 79

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 554, 400, 790, 352 is 2.

Given numbers are 554, 400, 790, 352

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

Apply this formula for all numbers.

Step1:

LCM(554, 400) = 110800

GCD(554, 400) = ( 554 x 400 ) / 110800

= 554 / 400

= 554

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 554, 400, 790, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 126, 790, 551
• GCD of 267, 791, 653, 352
• GCD of 455, 180, 741, 483
• GCD of 162, 683, 268, 100
• GCD of 886, 911, 114, 833

Given numbers are 554, 400, 790, 352
The greatest common divisor of numbers 554, 400, 790, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 554, 400, 790, 352 is 2.

1. What is the GCD of 554, 400, 790, 352?

GCD of given numbers 554, 400, 790, 352 is 2

2. How to calculate the greatest common divisor of 554, 400, 790, 352?

We can find the highest common divisor of 554, 400, 790, 352 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 554, 400, 790, 352 i.e 2.

3. How can I use the GCD of 554, 400, 790, 352Calculator?

Out the numbers 554, 400, 790, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.