GCD of 468, 544, 735, 240 Calculator

Given Input numbers are 468, 544, 735, 240

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (468, 544, 735, 240) = 1.

Given numbers are 468, 544, 735, 240

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 468, 544, 735, 240

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

Apply this formula for all numbers.

Step1:

LCM(468, 544) = 63648

GCD(468, 544) = ( 468 x 544 ) / 63648

= 468 / 544

= 468

Step2:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 468, 544, 735, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 232, 933, 376
• GCD of 508, 843, 649, 772
• GCD of 892, 292, 605, 910
• GCD of 839, 846, 211, 717
• GCD of 721, 679, 301, 886

Given numbers are 468, 544, 735, 240
The greatest common divisor of numbers 468, 544, 735, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 544, 735, 240 is 1.

1. What is the GCD of 468, 544, 735, 240?

GCD of given numbers 468, 544, 735, 240 is 1

2. How to calculate the greatest common divisor of 468, 544, 735, 240?

We can find the highest common divisor of 468, 544, 735, 240 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 468, 544, 735, 240 i.e 1.

3. How can I use the GCD of 468, 544, 735, 240Calculator?

Out the numbers 468, 544, 735, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.