GCD of 400, 535, 385, 509 Calculator

Given Input numbers are 400, 535, 385, 509

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (400, 535, 385, 509) = 1.

Given numbers are 400, 535, 385, 509

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 385 are 5 x 7 x 11

Prime factors of 509 are 509

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

Given numbers are 400, 535, 385, 509

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, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

= 5 / 385

= 5

Step3:

LCM(5, 509) = 2545

GCD(5, 509) = ( 5 x 509 ) / 2545

= 5 / 509

= 5

So, Greatest Common Divisor of 400, 535, 385, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 545, 693, 721
• GCD of 668, 957, 571, 954
• GCD of 536, 889, 503, 524
• GCD of 865, 570, 948, 619
• GCD of 501, 105, 573, 506

Given numbers are 400, 535, 385, 509
The greatest common divisor of numbers 400, 535, 385, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 535, 385, 509 is 1.

1. What is the GCD of 400, 535, 385, 509?

GCD of given numbers 400, 535, 385, 509 is 1

2. How to calculate the greatest common divisor of 400, 535, 385, 509?

We can find the highest common divisor of 400, 535, 385, 509 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, 385, 509 i.e 1.

3. How can I use the GCD of 400, 535, 385, 509Calculator?

Out the numbers 400, 535, 385, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.