GCD of 460, 468, 744, 724 Calculator

Given Input numbers are 460, 468, 744, 724

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

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 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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (460, 468, 744, 724) = 4.

Given numbers are 460, 468, 744, 724

The list of prime factors of all numbers are

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

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2²

Therefore, GCD of 460, 468, 744, 724 is 4.

Given numbers are 460, 468, 744, 724

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

Apply this formula for all numbers.

Step1:

LCM(460, 468) = 53820

GCD(460, 468) = ( 460 x 468 ) / 53820

= 460 / 468

= 460

Step2:

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

= 4 / 744

= 4

Step3:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

So, Greatest Common Divisor of 460, 468, 744, 724 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 479, 791, 354
• GCD of 816, 710, 110, 549
• GCD of 454, 187, 893, 433
• GCD of 475, 453, 293, 143
• GCD of 839, 962, 508, 437

Given numbers are 460, 468, 744, 724
The greatest common divisor of numbers 460, 468, 744, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 468, 744, 724 is 4.

1. What is the GCD of 460, 468, 744, 724?

GCD of given numbers 460, 468, 744, 724 is 4

2. How to calculate the greatest common divisor of 460, 468, 744, 724?

We can find the highest common divisor of 460, 468, 744, 724 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 460, 468, 744, 724 i.e 4.

3. How can I use the GCD of 460, 468, 744, 724Calculator?

Out the numbers 460, 468, 744, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.