GCD of 742, 400, 180, 904 Calculator

Given Input numbers are 742, 400, 180, 904

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (742, 400, 180, 904) = 2.

Given numbers are 742, 400, 180, 904

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 742, 400, 180, 904 is 2.

Given numbers are 742, 400, 180, 904

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

Apply this formula for all numbers.

Step1:

LCM(742, 400) = 148400

GCD(742, 400) = ( 742 x 400 ) / 148400

= 742 / 400

= 742

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

So, Greatest Common Divisor of 742, 400, 180, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 132, 931, 261
• GCD of 484, 678, 502, 512
• GCD of 535, 366, 158, 322
• GCD of 493, 341, 335, 268
• GCD of 818, 669, 985, 174

Given numbers are 742, 400, 180, 904
The greatest common divisor of numbers 742, 400, 180, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 400, 180, 904 is 2.

1. What is the GCD of 742, 400, 180, 904?

GCD of given numbers 742, 400, 180, 904 is 2

2. How to calculate the greatest common divisor of 742, 400, 180, 904?

We can find the highest common divisor of 742, 400, 180, 904 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 742, 400, 180, 904 i.e 2.

3. How can I use the GCD of 742, 400, 180, 904Calculator?

Out the numbers 742, 400, 180, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.