GCD of 726, 990, 450, 349 Calculator

Given Input numbers are 726, 990, 450, 349

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (726, 990, 450, 349) = 1.

Given numbers are 726, 990, 450, 349

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 349 are 349

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

Given numbers are 726, 990, 450, 349

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

Apply this formula for all numbers.

Step1:

LCM(726, 990) = 10890

GCD(726, 990) = ( 726 x 990 ) / 10890

= 726 / 990

= 726

Step2:

LCM(66, 450) = 4950

GCD(66, 450) = ( 66 x 450 ) / 4950

= 66 / 450

= 66

Step3:

LCM(6, 349) = 2094

GCD(6, 349) = ( 6 x 349 ) / 2094

= 6 / 349

= 6

So, Greatest Common Divisor of 726, 990, 450, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 341, 744, 996
• GCD of 372, 503, 821, 772
• GCD of 252, 287, 492, 927
• GCD of 726, 793, 430, 801
• GCD of 433, 153, 382, 839

Given numbers are 726, 990, 450, 349
The greatest common divisor of numbers 726, 990, 450, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 990, 450, 349 is 1.

1. What is the GCD of 726, 990, 450, 349?

GCD of given numbers 726, 990, 450, 349 is 1

2. How to calculate the greatest common divisor of 726, 990, 450, 349?

We can find the highest common divisor of 726, 990, 450, 349 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 726, 990, 450, 349 i.e 1.

3. How can I use the GCD of 726, 990, 450, 349Calculator?

Out the numbers 726, 990, 450, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.