GCD of 299, 759, 742, 876 Calculator

Given Input numbers are 299, 759, 742, 876

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 742 :

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

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (299, 759, 742, 876) = 1.

Given numbers are 299, 759, 742, 876

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 759 are 3 x 11 x 23

Prime factors of 742 are 2 x 7 x 53

Prime factors of 876 are 2 x 2 x 3 x 73

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

Given numbers are 299, 759, 742, 876

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

Apply this formula for all numbers.

Step1:

LCM(299, 759) = 9867

GCD(299, 759) = ( 299 x 759 ) / 9867

= 299 / 759

= 299

Step2:

LCM(23, 742) = 17066

GCD(23, 742) = ( 23 x 742 ) / 17066

= 23 / 742

= 23

Step3:

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

= 1 / 876

= 1

So, Greatest Common Divisor of 299, 759, 742, 876 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 786, 986, 904
• GCD of 813, 235, 763, 782
• GCD of 900, 131, 478, 747
• GCD of 924, 858, 239, 185
• GCD of 229, 252, 170, 967

Given numbers are 299, 759, 742, 876
The greatest common divisor of numbers 299, 759, 742, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 759, 742, 876 is 1.

1. What is the GCD of 299, 759, 742, 876?

GCD of given numbers 299, 759, 742, 876 is 1

2. How to calculate the greatest common divisor of 299, 759, 742, 876?

We can find the highest common divisor of 299, 759, 742, 876 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 299, 759, 742, 876 i.e 1.

3. How can I use the GCD of 299, 759, 742, 876Calculator?

Out the numbers 299, 759, 742, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.