GCD of 624, 764, 172, 460 Calculator

Given Input numbers are 624, 764, 172, 460

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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

GCD of numbers is the greatest common divisor

So, the GCD (624, 764, 172, 460) = 4.

Given numbers are 624, 764, 172, 460

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 764 are 2 x 2 x 191

Prime factors of 172 are 2 x 2 x 43

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

The highest common occurrence is 2²

Therefore, GCD of 624, 764, 172, 460 is 4.

Given numbers are 624, 764, 172, 460

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

Apply this formula for all numbers.

Step1:

LCM(624, 764) = 119184

GCD(624, 764) = ( 624 x 764 ) / 119184

= 624 / 764

= 624

Step2:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4

Step3:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

So, Greatest Common Divisor of 624, 764, 172, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 227, 869, 129
• GCD of 925, 560, 824, 359
• GCD of 159, 992, 680, 502
• GCD of 103, 302, 150, 269
• GCD of 260, 135, 587, 361

Given numbers are 624, 764, 172, 460
The greatest common divisor of numbers 624, 764, 172, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 764, 172, 460 is 4.

1. What is the GCD of 624, 764, 172, 460?

GCD of given numbers 624, 764, 172, 460 is 4

2. How to calculate the greatest common divisor of 624, 764, 172, 460?

We can find the highest common divisor of 624, 764, 172, 460 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 624, 764, 172, 460 i.e 4.

3. How can I use the GCD of 624, 764, 172, 460Calculator?

Out the numbers 624, 764, 172, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.