GCD of 349, 742, 723, 712 Calculator

Given Input numbers are 349, 742, 723, 712

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

Divisors of 349 :

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

1, 349

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (349, 742, 723, 712) = 1.

Given numbers are 349, 742, 723, 712

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 742 are 2 x 7 x 53

Prime factors of 723 are 3 x 241

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 349, 742, 723, 712

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

Apply this formula for all numbers.

Step1:

LCM(349, 742) = 258958

GCD(349, 742) = ( 349 x 742 ) / 258958

= 349 / 742

= 349

Step2:

LCM(1, 723) = 723

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

= 1 / 723

= 1

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 349, 742, 723, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 682, 935, 945
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Given numbers are 349, 742, 723, 712
The greatest common divisor of numbers 349, 742, 723, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 742, 723, 712 is 1.

1. What is the GCD of 349, 742, 723, 712?

GCD of given numbers 349, 742, 723, 712 is 1

2. How to calculate the greatest common divisor of 349, 742, 723, 712?

We can find the highest common divisor of 349, 742, 723, 712 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 349, 742, 723, 712 i.e 1.

3. How can I use the GCD of 349, 742, 723, 712Calculator?

Out the numbers 349, 742, 723, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.