GCD of 538, 964, 460, 688 Calculator

Given Input numbers are 538, 964, 460, 688

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (538, 964, 460, 688) = 2.

Given numbers are 538, 964, 460, 688

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 964 are 2 x 2 x 241

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 538, 964, 460, 688 is 2.

Given numbers are 538, 964, 460, 688

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

Apply this formula for all numbers.

Step1:

LCM(538, 964) = 259316

GCD(538, 964) = ( 538 x 964 ) / 259316

= 538 / 964

= 538

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 538, 964, 460, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 880, 167, 328
• GCD of 337, 715, 406, 979
• GCD of 470, 829, 219, 592
• GCD of 697, 802, 984, 602
• GCD of 541, 324, 785, 936

Given numbers are 538, 964, 460, 688
The greatest common divisor of numbers 538, 964, 460, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 964, 460, 688 is 2.

1. What is the GCD of 538, 964, 460, 688?

GCD of given numbers 538, 964, 460, 688 is 2

2. How to calculate the greatest common divisor of 538, 964, 460, 688?

We can find the highest common divisor of 538, 964, 460, 688 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 538, 964, 460, 688 i.e 2.

3. How can I use the GCD of 538, 964, 460, 688Calculator?

Out the numbers 538, 964, 460, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.