GCD of 264, 909, 758, 360 Calculator

Given Input numbers are 264, 909, 758, 360

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (264, 909, 758, 360) = 1.

Given numbers are 264, 909, 758, 360

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 909 are 3 x 3 x 101

Prime factors of 758 are 2 x 379

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 264, 909, 758, 360

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

Apply this formula for all numbers.

Step1:

LCM(264, 909) = 79992

GCD(264, 909) = ( 264 x 909 ) / 79992

= 264 / 909

= 264

Step2:

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

= 3 / 758

= 3

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 264, 909, 758, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 263, 619, 153
• GCD of 991, 871, 369, 430
• GCD of 569, 886, 523, 401
• GCD of 692, 608, 838, 707
• GCD of 230, 309, 996, 797

Given numbers are 264, 909, 758, 360
The greatest common divisor of numbers 264, 909, 758, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 909, 758, 360 is 1.

1. What is the GCD of 264, 909, 758, 360?

GCD of given numbers 264, 909, 758, 360 is 1

2. How to calculate the greatest common divisor of 264, 909, 758, 360?

We can find the highest common divisor of 264, 909, 758, 360 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 264, 909, 758, 360 i.e 1.

3. How can I use the GCD of 264, 909, 758, 360Calculator?

Out the numbers 264, 909, 758, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.