GCD of 166, 464, 582, 748 Calculator

Given Input numbers are 166, 464, 582, 748

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

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 464 :

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

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (166, 464, 582, 748) = 2.

Given numbers are 166, 464, 582, 748

The list of prime factors of all numbers are

Prime factors of 166 are 2 x 83

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 166, 464, 582, 748 is 2.

Given numbers are 166, 464, 582, 748

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

Apply this formula for all numbers.

Step1:

LCM(166, 464) = 38512

GCD(166, 464) = ( 166 x 464 ) / 38512

= 166 / 464

= 166

Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 166, 464, 582, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 441, 430, 460
• GCD of 987, 829, 899, 218
• GCD of 669, 970, 276, 860
• GCD of 265, 605, 374, 176
• GCD of 586, 637, 691, 727

Given numbers are 166, 464, 582, 748
The greatest common divisor of numbers 166, 464, 582, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 464, 582, 748 is 2.

1. What is the GCD of 166, 464, 582, 748?

GCD of given numbers 166, 464, 582, 748 is 2

2. How to calculate the greatest common divisor of 166, 464, 582, 748?

We can find the highest common divisor of 166, 464, 582, 748 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 166, 464, 582, 748 i.e 2.

3. How can I use the GCD of 166, 464, 582, 748Calculator?

Out the numbers 166, 464, 582, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.