GCD of 358, 292, 448, 824 Calculator

Given Input numbers are 358, 292, 448, 824

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (358, 292, 448, 824) = 2.

Given numbers are 358, 292, 448, 824

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 292 are 2 x 2 x 73

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 358, 292, 448, 824 is 2.

Given numbers are 358, 292, 448, 824

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

Apply this formula for all numbers.

Step1:

LCM(358, 292) = 52268

GCD(358, 292) = ( 358 x 292 ) / 52268

= 358 / 292

= 358

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 358, 292, 448, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 463, 590, 884
• GCD of 491, 851, 700, 683
• GCD of 643, 775, 374, 213
• GCD of 654, 472, 383, 201
• GCD of 911, 131, 447, 156

Given numbers are 358, 292, 448, 824
The greatest common divisor of numbers 358, 292, 448, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 292, 448, 824 is 2.

1. What is the GCD of 358, 292, 448, 824?

GCD of given numbers 358, 292, 448, 824 is 2

2. How to calculate the greatest common divisor of 358, 292, 448, 824?

We can find the highest common divisor of 358, 292, 448, 824 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 358, 292, 448, 824 i.e 2.

3. How can I use the GCD of 358, 292, 448, 824Calculator?

Out the numbers 358, 292, 448, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.