GCD of 402, 335, 100, 728 Calculator

Given Input numbers are 402, 335, 100, 728

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (402, 335, 100, 728) = 1.

Given numbers are 402, 335, 100, 728

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 335 are 5 x 67

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 402, 335, 100, 728

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

Apply this formula for all numbers.

Step1:

LCM(402, 335) = 2010

GCD(402, 335) = ( 402 x 335 ) / 2010

= 402 / 335

= 402

Step2:

LCM(67, 100) = 6700

GCD(67, 100) = ( 67 x 100 ) / 6700

= 67 / 100

= 67

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 402, 335, 100, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 671, 117, 738
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Given numbers are 402, 335, 100, 728
The greatest common divisor of numbers 402, 335, 100, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 335, 100, 728 is 1.

1. What is the GCD of 402, 335, 100, 728?

GCD of given numbers 402, 335, 100, 728 is 1

2. How to calculate the greatest common divisor of 402, 335, 100, 728?

We can find the highest common divisor of 402, 335, 100, 728 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 402, 335, 100, 728 i.e 1.

3. How can I use the GCD of 402, 335, 100, 728Calculator?

Out the numbers 402, 335, 100, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.