GCD of 564, 892, 262, 842 Calculator

Given Input numbers are 564, 892, 262, 842

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

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (564, 892, 262, 842) = 2.

Given numbers are 564, 892, 262, 842

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 262 are 2 x 131

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 564, 892, 262, 842 is 2.

Given numbers are 564, 892, 262, 842

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

Apply this formula for all numbers.

Step1:

LCM(564, 892) = 125772

GCD(564, 892) = ( 564 x 892 ) / 125772

= 564 / 892

= 564

Step2:

LCM(4, 262) = 524

GCD(4, 262) = ( 4 x 262 ) / 524

= 4 / 262

= 4

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 564, 892, 262, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 851, 455, 438
• GCD of 515, 182, 291, 501
• GCD of 217, 443, 539, 812
• GCD of 719, 268, 392, 248
• GCD of 697, 779, 395, 563

Given numbers are 564, 892, 262, 842
The greatest common divisor of numbers 564, 892, 262, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 892, 262, 842 is 2.

1. What is the GCD of 564, 892, 262, 842?

GCD of given numbers 564, 892, 262, 842 is 2

2. How to calculate the greatest common divisor of 564, 892, 262, 842?

We can find the highest common divisor of 564, 892, 262, 842 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 564, 892, 262, 842 i.e 2.

3. How can I use the GCD of 564, 892, 262, 842Calculator?

Out the numbers 564, 892, 262, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.