GCD of 356, 538, 300, 440 Calculator

Given Input numbers are 356, 538, 300, 440

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (356, 538, 300, 440) = 2.

Given numbers are 356, 538, 300, 440

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 538 are 2 x 269

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 356, 538, 300, 440 is 2.

Given numbers are 356, 538, 300, 440

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

Apply this formula for all numbers.

Step1:

LCM(356, 538) = 95764

GCD(356, 538) = ( 356 x 538 ) / 95764

= 356 / 538

= 356

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 356, 538, 300, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 938, 734, 310
• GCD of 278, 801, 463, 816
• GCD of 325, 411, 972, 441
• GCD of 795, 329, 619, 666
• GCD of 817, 274, 509, 924

Given numbers are 356, 538, 300, 440
The greatest common divisor of numbers 356, 538, 300, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 538, 300, 440 is 2.

1. What is the GCD of 356, 538, 300, 440?

GCD of given numbers 356, 538, 300, 440 is 2

2. How to calculate the greatest common divisor of 356, 538, 300, 440?

We can find the highest common divisor of 356, 538, 300, 440 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, 538, 300, 440 i.e 2.

3. How can I use the GCD of 356, 538, 300, 440Calculator?

Out the numbers 356, 538, 300, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.