GCD of 749, 108, 302, 961 Calculator

Given Input numbers are 749, 108, 302, 961

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

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (749, 108, 302, 961) = 1.

Given numbers are 749, 108, 302, 961

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 302 are 2 x 151

Prime factors of 961 are 31 x 31

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

Given numbers are 749, 108, 302, 961

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

Apply this formula for all numbers.

Step1:

LCM(749, 108) = 80892

GCD(749, 108) = ( 749 x 108 ) / 80892

= 749 / 108

= 749

Step2:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 749, 108, 302, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 568, 299, 374
• GCD of 608, 633, 531, 168
• GCD of 280, 973, 926, 967
• GCD of 489, 470, 439, 296
• GCD of 518, 273, 709, 352

Given numbers are 749, 108, 302, 961
The greatest common divisor of numbers 749, 108, 302, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 108, 302, 961 is 1.

1. What is the GCD of 749, 108, 302, 961?

GCD of given numbers 749, 108, 302, 961 is 1

2. How to calculate the greatest common divisor of 749, 108, 302, 961?

We can find the highest common divisor of 749, 108, 302, 961 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 749, 108, 302, 961 i.e 1.

3. How can I use the GCD of 749, 108, 302, 961Calculator?

Out the numbers 749, 108, 302, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.