GCD of 604, 240, 400, 160 Calculator

Given Input numbers are 604, 240, 400, 160

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (604, 240, 400, 160) = 4.

Given numbers are 604, 240, 400, 160

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 604, 240, 400, 160 is 4.

Given numbers are 604, 240, 400, 160

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

Apply this formula for all numbers.

Step1:

LCM(604, 240) = 36240

GCD(604, 240) = ( 604 x 240 ) / 36240

= 604 / 240

= 604

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

Step3:

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

= 4 / 160

= 4

So, Greatest Common Divisor of 604, 240, 400, 160 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 730, 512, 214
• GCD of 667, 193, 590, 468
• GCD of 182, 744, 453, 601
• GCD of 340, 520, 832, 852
• GCD of 990, 116, 557, 686

Given numbers are 604, 240, 400, 160
The greatest common divisor of numbers 604, 240, 400, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 240, 400, 160 is 4.

1. What is the GCD of 604, 240, 400, 160?

GCD of given numbers 604, 240, 400, 160 is 4

2. How to calculate the greatest common divisor of 604, 240, 400, 160?

We can find the highest common divisor of 604, 240, 400, 160 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 604, 240, 400, 160 i.e 4.

3. How can I use the GCD of 604, 240, 400, 160Calculator?

Out the numbers 604, 240, 400, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.