GCD of 349, 315, 755, 706 Calculator

Given Input numbers are 349, 315, 755, 706

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (349, 315, 755, 706) = 1.

Given numbers are 349, 315, 755, 706

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 755 are 5 x 151

Prime factors of 706 are 2 x 353

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

Given numbers are 349, 315, 755, 706

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

Apply this formula for all numbers.

Step1:

LCM(349, 315) = 109935

GCD(349, 315) = ( 349 x 315 ) / 109935

= 349 / 315

= 349

Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

So, Greatest Common Divisor of 349, 315, 755, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 987, 330, 361
• GCD of 362, 254, 941, 639
• GCD of 110, 628, 676, 349
• GCD of 393, 764, 337, 633
• GCD of 954, 550, 485, 118

Given numbers are 349, 315, 755, 706
The greatest common divisor of numbers 349, 315, 755, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 315, 755, 706 is 1.

1. What is the GCD of 349, 315, 755, 706?

GCD of given numbers 349, 315, 755, 706 is 1

2. How to calculate the greatest common divisor of 349, 315, 755, 706?

We can find the highest common divisor of 349, 315, 755, 706 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, 315, 755, 706 i.e 1.

3. How can I use the GCD of 349, 315, 755, 706Calculator?

Out the numbers 349, 315, 755, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.