GCD of 364, 460, 526, 727 Calculator

Given Input numbers are 364, 460, 526, 727

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (364, 460, 526, 727) = 1.

Given numbers are 364, 460, 526, 727

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 526 are 2 x 263

Prime factors of 727 are 727

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

Given numbers are 364, 460, 526, 727

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

Apply this formula for all numbers.

Step1:

LCM(364, 460) = 41860

GCD(364, 460) = ( 364 x 460 ) / 41860

= 364 / 460

= 364

Step2:

LCM(4, 526) = 1052

GCD(4, 526) = ( 4 x 526 ) / 1052

= 4 / 526

= 4

Step3:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

So, Greatest Common Divisor of 364, 460, 526, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 222, 349, 634
• GCD of 401, 164, 977, 897
• GCD of 269, 190, 647, 813
• GCD of 486, 612, 108, 370
• GCD of 300, 439, 690, 260

Given numbers are 364, 460, 526, 727
The greatest common divisor of numbers 364, 460, 526, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 460, 526, 727 is 1.

1. What is the GCD of 364, 460, 526, 727?

GCD of given numbers 364, 460, 526, 727 is 1

2. How to calculate the greatest common divisor of 364, 460, 526, 727?

We can find the highest common divisor of 364, 460, 526, 727 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, 460, 526, 727 i.e 1.

3. How can I use the GCD of 364, 460, 526, 727Calculator?

Out the numbers 364, 460, 526, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.