GCD of 464, 752, 34, 996 Calculator

Given Input numbers are 464, 752, 34, 996

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

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (464, 752, 34, 996) = 2.

Given numbers are 464, 752, 34, 996

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 34 are 2 x 17

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 464, 752, 34, 996 is 2.

Given numbers are 464, 752, 34, 996

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

Apply this formula for all numbers.

Step1:

LCM(464, 752) = 21808

GCD(464, 752) = ( 464 x 752 ) / 21808

= 464 / 752

= 464

Step2:

LCM(16, 34) = 272

GCD(16, 34) = ( 16 x 34 ) / 272

= 16 / 34

= 16

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 464, 752, 34, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 723, 63, 803
• GCD of 332, 828, 13, 331
• GCD of 775, 162, 95, 743
• GCD of 564, 771, 90, 551
• GCD of 329, 808, 96, 938

Given numbers are 464, 752, 34, 996
The greatest common divisor of numbers 464, 752, 34, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 752, 34, 996 is 2.

1. What is the GCD of 464, 752, 34, 996?

GCD of given numbers 464, 752, 34, 996 is 2

2. How to calculate the greatest common divisor of 464, 752, 34, 996?

We can find the highest common divisor of 464, 752, 34, 996 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 464, 752, 34, 996 i.e 2.

3. How can I use the GCD of 464, 752, 34, 996Calculator?

Out the numbers 464, 752, 34, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.