GCD of 400, 825, 692, 220 Calculator

Given Input numbers are 400, 825, 692, 220

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (400, 825, 692, 220) = 1.

Given numbers are 400, 825, 692, 220

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 825 are 3 x 5 x 5 x 11

Prime factors of 692 are 2 x 2 x 173

Prime factors of 220 are 2 x 2 x 5 x 11

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

Given numbers are 400, 825, 692, 220

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

Apply this formula for all numbers.

Step1:

LCM(400, 825) = 13200

GCD(400, 825) = ( 400 x 825 ) / 13200

= 400 / 825

= 400

Step2:

LCM(25, 692) = 17300

GCD(25, 692) = ( 25 x 692 ) / 17300

= 25 / 692

= 25

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 400, 825, 692, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 379, 336, 502
• GCD of 381, 692, 922, 713
• GCD of 452, 708, 992, 565
• GCD of 715, 467, 486, 678
• GCD of 972, 547, 433, 650

Given numbers are 400, 825, 692, 220
The greatest common divisor of numbers 400, 825, 692, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 825, 692, 220 is 1.

1. What is the GCD of 400, 825, 692, 220?

GCD of given numbers 400, 825, 692, 220 is 1

2. How to calculate the greatest common divisor of 400, 825, 692, 220?

We can find the highest common divisor of 400, 825, 692, 220 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, 825, 692, 220 i.e 1.

3. How can I use the GCD of 400, 825, 692, 220Calculator?

Out the numbers 400, 825, 692, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.