GCD of 536, 378, 830, 564 Calculator

Given Input numbers are 536, 378, 830, 564

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (536, 378, 830, 564) = 2.

Given numbers are 536, 378, 830, 564

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 830 are 2 x 5 x 83

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 536, 378, 830, 564 is 2.

Given numbers are 536, 378, 830, 564

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

Apply this formula for all numbers.

Step1:

LCM(536, 378) = 101304

GCD(536, 378) = ( 536 x 378 ) / 101304

= 536 / 378

= 536

Step2:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 536, 378, 830, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 567, 931, 213
• GCD of 241, 239, 478, 294
• GCD of 792, 927, 950, 808
• GCD of 171, 734, 365, 491
• GCD of 698, 859, 804, 256

Given numbers are 536, 378, 830, 564
The greatest common divisor of numbers 536, 378, 830, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 378, 830, 564 is 2.

1. What is the GCD of 536, 378, 830, 564?

GCD of given numbers 536, 378, 830, 564 is 2

2. How to calculate the greatest common divisor of 536, 378, 830, 564?

We can find the highest common divisor of 536, 378, 830, 564 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, 378, 830, 564 i.e 2.

3. How can I use the GCD of 536, 378, 830, 564Calculator?

Out the numbers 536, 378, 830, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.