GCD of 535, 355, 385, 400 Calculator

Given Input numbers are 535, 355, 385, 400

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

Divisors of 535 :

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

1, 5, 107, 535

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 385 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (535, 355, 385, 400) = 5.

Given numbers are 535, 355, 385, 400

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 355 are 5 x 71

Prime factors of 385 are 5 x 7 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 535, 355, 385, 400 is 5.

Given numbers are 535, 355, 385, 400

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

Apply this formula for all numbers.

Step1:

LCM(535, 355) = 37985

GCD(535, 355) = ( 535 x 355 ) / 37985

= 535 / 355

= 535

Step2:

LCM(5, 385) = 385

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

= 5 / 385

= 5

Step3:

LCM(5, 400) = 400

GCD(5, 400) = ( 5 x 400 ) / 400

= 5 / 400

= 5

So, Greatest Common Divisor of 535, 355, 385, 400 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 962, 952, 123
• GCD of 198, 153, 226, 125
• GCD of 143, 671, 346, 819
• GCD of 212, 465, 843, 456
• GCD of 239, 601, 112, 232

Given numbers are 535, 355, 385, 400
The greatest common divisor of numbers 535, 355, 385, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 355, 385, 400 is 5.

1. What is the GCD of 535, 355, 385, 400?

GCD of given numbers 535, 355, 385, 400 is 5

2. How to calculate the greatest common divisor of 535, 355, 385, 400?

We can find the highest common divisor of 535, 355, 385, 400 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 535, 355, 385, 400 i.e 5.

3. How can I use the GCD of 535, 355, 385, 400Calculator?

Out the numbers 535, 355, 385, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.