GCD of 496, 311, 723, 149 Calculator

Given Input numbers are 496, 311, 723, 149

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 (496, 311, 723, 149) = 1.

Given numbers are 496, 311, 723, 149

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 311 are 311

Prime factors of 723 are 3 x 241

Prime factors of 149 are 149

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

Given numbers are 496, 311, 723, 149

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

Apply this formula for all numbers.

Step1:

LCM(496, 311) = 154256

GCD(496, 311) = ( 496 x 311 ) / 154256

= 496 / 311

= 496

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 149) = 149

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

= 1 / 149

= 1

So, Greatest Common Divisor of 496, 311, 723, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 566, 320, 277
• GCD of 578, 283, 470, 288
• GCD of 452, 612, 306, 677
• GCD of 556, 717, 891, 199
• GCD of 191, 700, 909, 223

Given numbers are 496, 311, 723, 149
The greatest common divisor of numbers 496, 311, 723, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 311, 723, 149 is 1.

1. What is the GCD of 496, 311, 723, 149?

GCD of given numbers 496, 311, 723, 149 is 1

2. How to calculate the greatest common divisor of 496, 311, 723, 149?

We can find the highest common divisor of 496, 311, 723, 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 496, 311, 723, 149 i.e 1.

3. How can I use the GCD of 496, 311, 723, 149Calculator?

Out the numbers 496, 311, 723, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.