GCD of 949, 214, 133, 723 Calculator

Given Input numbers are 949, 214, 133, 723

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 723 :

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

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (949, 214, 133, 723) = 1.

Given numbers are 949, 214, 133, 723

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 214 are 2 x 107

Prime factors of 133 are 7 x 19

Prime factors of 723 are 3 x 241

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

Given numbers are 949, 214, 133, 723

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

Apply this formula for all numbers.

Step1:

LCM(949, 214) = 203086

GCD(949, 214) = ( 949 x 214 ) / 203086

= 949 / 214

= 949

Step2:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1

Step3:

LCM(1, 723) = 723

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

= 1 / 723

= 1

So, Greatest Common Divisor of 949, 214, 133, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 902, 685, 996
• GCD of 749, 295, 918, 334
• GCD of 140, 398, 532, 264
• GCD of 349, 208, 579, 930
• GCD of 433, 187, 563, 196

Given numbers are 949, 214, 133, 723
The greatest common divisor of numbers 949, 214, 133, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 214, 133, 723 is 1.

1. What is the GCD of 949, 214, 133, 723?

GCD of given numbers 949, 214, 133, 723 is 1

2. How to calculate the greatest common divisor of 949, 214, 133, 723?

We can find the highest common divisor of 949, 214, 133, 723 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 949, 214, 133, 723 i.e 1.

3. How can I use the GCD of 949, 214, 133, 723Calculator?

Out the numbers 949, 214, 133, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.