GCD of 400, 784, 305, 149 Calculator

Given Input numbers are 400, 784, 305, 149

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (400, 784, 305, 149) = 1.

Given numbers are 400, 784, 305, 149

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 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 305 are 5 x 61

Prime factors of 149 are 149

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

Given numbers are 400, 784, 305, 149

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

Apply this formula for all numbers.

Step1:

LCM(400, 784) = 19600

GCD(400, 784) = ( 400 x 784 ) / 19600

= 400 / 784

= 400

Step2:

LCM(16, 305) = 4880

GCD(16, 305) = ( 16 x 305 ) / 4880

= 16 / 305

= 16

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 400, 784, 305, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 312, 251, 440
• GCD of 701, 407, 227, 268
• GCD of 539, 832, 589, 898
• GCD of 595, 922, 708, 188
• GCD of 242, 692, 650, 179

Given numbers are 400, 784, 305, 149
The greatest common divisor of numbers 400, 784, 305, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 784, 305, 149 is 1.

1. What is the GCD of 400, 784, 305, 149?

GCD of given numbers 400, 784, 305, 149 is 1

2. How to calculate the greatest common divisor of 400, 784, 305, 149?

We can find the highest common divisor of 400, 784, 305, 149 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, 784, 305, 149 i.e 1.

3. How can I use the GCD of 400, 784, 305, 149Calculator?

Out the numbers 400, 784, 305, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.