GCD of 400, 535, 185, 200 Calculator

Given Input numbers are 400, 535, 185, 200

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 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 535, 185, 200) = 5.

Given numbers are 400, 535, 185, 200

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 535 are 5 x 107

Prime factors of 185 are 5 x 37

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 5¹

Therefore, GCD of 400, 535, 185, 200 is 5.

Given numbers are 400, 535, 185, 200

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

Apply this formula for all numbers.

Step1:

LCM(400, 535) = 42800

GCD(400, 535) = ( 400 x 535 ) / 42800

= 400 / 535

= 400

Step2:

LCM(5, 185) = 185

GCD(5, 185) = ( 5 x 185 ) / 185

= 5 / 185

= 5

Step3:

LCM(5, 200) = 200

GCD(5, 200) = ( 5 x 200 ) / 200

= 5 / 200

= 5

So, Greatest Common Divisor of 400, 535, 185, 200 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 428, 356, 687
• GCD of 920, 248, 369, 440
• GCD of 856, 541, 802, 125
• GCD of 706, 128, 246, 371
• GCD of 885, 481, 771, 954

Given numbers are 400, 535, 185, 200
The greatest common divisor of numbers 400, 535, 185, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 535, 185, 200 is 5.

1. What is the GCD of 400, 535, 185, 200?

GCD of given numbers 400, 535, 185, 200 is 5

2. How to calculate the greatest common divisor of 400, 535, 185, 200?

We can find the highest common divisor of 400, 535, 185, 200 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, 535, 185, 200 i.e 5.

3. How can I use the GCD of 400, 535, 185, 200Calculator?

Out the numbers 400, 535, 185, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.