GCD of 676, 832, 574, 288 Calculator

Given Input numbers are 676, 832, 574, 288

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (676, 832, 574, 288) = 2.

Given numbers are 676, 832, 574, 288

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 574 are 2 x 7 x 41

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 676, 832, 574, 288 is 2.

Given numbers are 676, 832, 574, 288

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

Apply this formula for all numbers.

Step1:

LCM(676, 832) = 10816

GCD(676, 832) = ( 676 x 832 ) / 10816

= 676 / 832

= 676

Step2:

LCM(52, 574) = 14924

GCD(52, 574) = ( 52 x 574 ) / 14924

= 52 / 574

= 52

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 676, 832, 574, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 789, 849, 905
• GCD of 834, 498, 641, 982
• GCD of 953, 709, 807, 803
• GCD of 347, 508, 379, 151
• GCD of 524, 306, 463, 184

Given numbers are 676, 832, 574, 288
The greatest common divisor of numbers 676, 832, 574, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 832, 574, 288 is 2.

1. What is the GCD of 676, 832, 574, 288?

GCD of given numbers 676, 832, 574, 288 is 2

2. How to calculate the greatest common divisor of 676, 832, 574, 288?

We can find the highest common divisor of 676, 832, 574, 288 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 676, 832, 574, 288 i.e 2.

3. How can I use the GCD of 676, 832, 574, 288Calculator?

Out the numbers 676, 832, 574, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.