GCD of 265, 523, 584, 972 Calculator

Given Input numbers are 265, 523, 584, 972

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

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (265, 523, 584, 972) = 1.

Given numbers are 265, 523, 584, 972

The list of prime factors of all numbers are

Prime factors of 265 are 5 x 53

Prime factors of 523 are 523

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 265, 523, 584, 972

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

Apply this formula for all numbers.

Step1:

LCM(265, 523) = 138595

GCD(265, 523) = ( 265 x 523 ) / 138595

= 265 / 523

= 265

Step2:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 265, 523, 584, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 190, 234, 657
• GCD of 902, 345, 374, 158
• GCD of 264, 902, 959, 747
• GCD of 937, 813, 191, 717
• GCD of 476, 660, 678, 150

Given numbers are 265, 523, 584, 972
The greatest common divisor of numbers 265, 523, 584, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 523, 584, 972 is 1.

1. What is the GCD of 265, 523, 584, 972?

GCD of given numbers 265, 523, 584, 972 is 1

2. How to calculate the greatest common divisor of 265, 523, 584, 972?

We can find the highest common divisor of 265, 523, 584, 972 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 265, 523, 584, 972 i.e 1.

3. How can I use the GCD of 265, 523, 584, 972Calculator?

Out the numbers 265, 523, 584, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.