GCD of 176, 460, 538, 464 Calculator

Given Input numbers are 176, 460, 538, 464

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 538 :

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

1, 2, 269, 538

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (176, 460, 538, 464) = 2.

Given numbers are 176, 460, 538, 464

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

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

Prime factors of 538 are 2 x 269

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 176, 460, 538, 464 is 2.

Given numbers are 176, 460, 538, 464

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

Apply this formula for all numbers.

Step1:

LCM(176, 460) = 20240

GCD(176, 460) = ( 176 x 460 ) / 20240

= 176 / 460

= 176

Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 176, 460, 538, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 719, 350, 273
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• GCD of 982, 281, 658, 338
• GCD of 951, 602, 530, 773
• GCD of 875, 517, 112, 351

Given numbers are 176, 460, 538, 464
The greatest common divisor of numbers 176, 460, 538, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 460, 538, 464 is 2.

1. What is the GCD of 176, 460, 538, 464?

GCD of given numbers 176, 460, 538, 464 is 2

2. How to calculate the greatest common divisor of 176, 460, 538, 464?

We can find the highest common divisor of 176, 460, 538, 464 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 176, 460, 538, 464 i.e 2.

3. How can I use the GCD of 176, 460, 538, 464Calculator?

Out the numbers 176, 460, 538, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.