GCD of 384, 649, 202, 400 Calculator

Given Input numbers are 384, 649, 202, 400

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

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 (384, 649, 202, 400) = 1.

Given numbers are 384, 649, 202, 400

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 649 are 11 x 59

Prime factors of 202 are 2 x 101

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

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

Given numbers are 384, 649, 202, 400

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

Apply this formula for all numbers.

Step1:

LCM(384, 649) = 249216

GCD(384, 649) = ( 384 x 649 ) / 249216

= 384 / 649

= 384

Step2:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 384, 649, 202, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 988, 763, 989
• GCD of 848, 930, 553, 962
• GCD of 917, 711, 275, 920
• GCD of 949, 553, 419, 389
• GCD of 768, 734, 795, 853

Given numbers are 384, 649, 202, 400
The greatest common divisor of numbers 384, 649, 202, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 649, 202, 400 is 1.

1. What is the GCD of 384, 649, 202, 400?

GCD of given numbers 384, 649, 202, 400 is 1

2. How to calculate the greatest common divisor of 384, 649, 202, 400?

We can find the highest common divisor of 384, 649, 202, 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 384, 649, 202, 400 i.e 1.

3. How can I use the GCD of 384, 649, 202, 400Calculator?

Out the numbers 384, 649, 202, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.