GCD of 315, 983, 749, 349 Calculator

Given Input numbers are 315, 983, 749, 349

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

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 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 (315, 983, 749, 349) = 1.

Given numbers are 315, 983, 749, 349

The list of prime factors of all numbers are

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

Prime factors of 983 are 983

Prime factors of 749 are 7 x 107

Prime factors of 349 are 349

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

Given numbers are 315, 983, 749, 349

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

Apply this formula for all numbers.

Step1:

LCM(315, 983) = 309645

GCD(315, 983) = ( 315 x 983 ) / 309645

= 315 / 983

= 315

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 315, 983, 749, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 735, 197, 895
• GCD of 111, 256, 283, 742
• GCD of 488, 690, 248, 906
• GCD of 860, 962, 469, 688
• GCD of 174, 808, 560, 764

Given numbers are 315, 983, 749, 349
The greatest common divisor of numbers 315, 983, 749, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 983, 749, 349 is 1.

1. What is the GCD of 315, 983, 749, 349?

GCD of given numbers 315, 983, 749, 349 is 1

2. How to calculate the greatest common divisor of 315, 983, 749, 349?

We can find the highest common divisor of 315, 983, 749, 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 315, 983, 749, 349 i.e 1.

3. How can I use the GCD of 315, 983, 749, 349Calculator?

Out the numbers 315, 983, 749, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.