GCD of 356, 824, 140, 576 Calculator

Given Input numbers are 356, 824, 140, 576

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 824 :

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

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (356, 824, 140, 576) = 4.

Given numbers are 356, 824, 140, 576

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

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

Prime factors of 140 are 2 x 2 x 5 x 7

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 2²

Therefore, GCD of 356, 824, 140, 576 is 4.

Given numbers are 356, 824, 140, 576

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

Apply this formula for all numbers.

Step1:

LCM(356, 824) = 73336

GCD(356, 824) = ( 356 x 824 ) / 73336

= 356 / 824

= 356

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 576) = 576

GCD(4, 576) = ( 4 x 576 ) / 576

= 4 / 576

= 4

So, Greatest Common Divisor of 356, 824, 140, 576 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 365, 271, 160
• GCD of 234, 109, 112, 132
• GCD of 618, 163, 884, 384
• GCD of 472, 266, 901, 987
• GCD of 210, 667, 774, 847

Given numbers are 356, 824, 140, 576
The greatest common divisor of numbers 356, 824, 140, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 824, 140, 576 is 4.

1. What is the GCD of 356, 824, 140, 576?

GCD of given numbers 356, 824, 140, 576 is 4

2. How to calculate the greatest common divisor of 356, 824, 140, 576?

We can find the highest common divisor of 356, 824, 140, 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 356, 824, 140, 576 i.e 4.

3. How can I use the GCD of 356, 824, 140, 576Calculator?

Out the numbers 356, 824, 140, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.