GCD of 400, 216, 740, 653 Calculator

Given Input numbers are 400, 216, 740, 653

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

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (400, 216, 740, 653) = 1.

Given numbers are 400, 216, 740, 653

The list of prime factors of all numbers are

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 653 are 653

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 216, 740, 653

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

Apply this formula for all numbers.

Step1:

LCM(400, 216) = 10800

GCD(400, 216) = ( 400 x 216 ) / 10800

= 400 / 216

= 400

Step2:

LCM(8, 740) = 1480

GCD(8, 740) = ( 8 x 740 ) / 1480

= 8 / 740

= 8

Step3:

LCM(4, 653) = 2612

GCD(4, 653) = ( 4 x 653 ) / 2612

= 4 / 653

= 4

So, Greatest Common Divisor of 400, 216, 740, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 325, 540, 534
• GCD of 933, 406, 350, 568
• GCD of 925, 628, 467, 529
• GCD of 238, 314, 942, 718
• GCD of 214, 537, 868, 740

Given numbers are 400, 216, 740, 653
The greatest common divisor of numbers 400, 216, 740, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 216, 740, 653 is 1.

1. What is the GCD of 400, 216, 740, 653?

GCD of given numbers 400, 216, 740, 653 is 1

2. How to calculate the greatest common divisor of 400, 216, 740, 653?

We can find the highest common divisor of 400, 216, 740, 653 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 400, 216, 740, 653 i.e 1.

3. How can I use the GCD of 400, 216, 740, 653Calculator?

Out the numbers 400, 216, 740, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.