GCD of 364, 590, 760, 858 Calculator

Given Input numbers are 364, 590, 760, 858

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (364, 590, 760, 858) = 2.

Given numbers are 364, 590, 760, 858

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 590 are 2 x 5 x 59

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 364, 590, 760, 858 is 2.

Given numbers are 364, 590, 760, 858

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

Apply this formula for all numbers.

Step1:

LCM(364, 590) = 107380

GCD(364, 590) = ( 364 x 590 ) / 107380

= 364 / 590

= 364

Step2:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 364, 590, 760, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 173, 586, 219
• GCD of 857, 466, 570, 598
• GCD of 813, 204, 897, 105
• GCD of 764, 292, 618, 903
• GCD of 387, 517, 679, 899

Given numbers are 364, 590, 760, 858
The greatest common divisor of numbers 364, 590, 760, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 590, 760, 858 is 2.

1. What is the GCD of 364, 590, 760, 858?

GCD of given numbers 364, 590, 760, 858 is 2

2. How to calculate the greatest common divisor of 364, 590, 760, 858?

We can find the highest common divisor of 364, 590, 760, 858 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 364, 590, 760, 858 i.e 2.

3. How can I use the GCD of 364, 590, 760, 858Calculator?

Out the numbers 364, 590, 760, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.