GCD of 536, 820, 940, 364 Calculator

Given Input numbers are 536, 820, 940, 364

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (536, 820, 940, 364) = 4.

Given numbers are 536, 820, 940, 364

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2²

Therefore, GCD of 536, 820, 940, 364 is 4.

Given numbers are 536, 820, 940, 364

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

Apply this formula for all numbers.

Step1:

LCM(536, 820) = 109880

GCD(536, 820) = ( 536 x 820 ) / 109880

= 536 / 820

= 536

Step2:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

Step3:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

So, Greatest Common Divisor of 536, 820, 940, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 500, 985, 119
• GCD of 756, 659, 366, 604
• GCD of 385, 208, 693, 508
• GCD of 680, 245, 600, 106
• GCD of 784, 636, 905, 624

Given numbers are 536, 820, 940, 364
The greatest common divisor of numbers 536, 820, 940, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 820, 940, 364 is 4.

1. What is the GCD of 536, 820, 940, 364?

GCD of given numbers 536, 820, 940, 364 is 4

2. How to calculate the greatest common divisor of 536, 820, 940, 364?

We can find the highest common divisor of 536, 820, 940, 364 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 536, 820, 940, 364 i.e 4.

3. How can I use the GCD of 536, 820, 940, 364Calculator?

Out the numbers 536, 820, 940, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.