GCD of 952, 756, 814, 576 Calculator

Given Input numbers are 952, 756, 814, 576

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (952, 756, 814, 576) = 2.

Given numbers are 952, 756, 814, 576

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 814 are 2 x 11 x 37

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 952, 756, 814, 576 is 2.

Given numbers are 952, 756, 814, 576

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

Apply this formula for all numbers.

Step1:

LCM(952, 756) = 25704

GCD(952, 756) = ( 952 x 756 ) / 25704

= 952 / 756

= 952

Step2:

LCM(28, 814) = 11396

GCD(28, 814) = ( 28 x 814 ) / 11396

= 28 / 814

= 28

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 952, 756, 814, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 149, 708, 265
• GCD of 101, 960, 129, 982
• GCD of 964, 470, 348, 493
• GCD of 603, 315, 209, 962
• GCD of 737, 823, 138, 585

Given numbers are 952, 756, 814, 576
The greatest common divisor of numbers 952, 756, 814, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 756, 814, 576 is 2.

1. What is the GCD of 952, 756, 814, 576?

GCD of given numbers 952, 756, 814, 576 is 2

2. How to calculate the greatest common divisor of 952, 756, 814, 576?

We can find the highest common divisor of 952, 756, 814, 576 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 952, 756, 814, 576 i.e 2.

3. How can I use the GCD of 952, 756, 814, 576Calculator?

Out the numbers 952, 756, 814, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.