GCD of 560, 892, 914, 918 Calculator

Given Input numbers are 560, 892, 914, 918

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (560, 892, 914, 918) = 2.

Given numbers are 560, 892, 914, 918

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 892 are 2 x 2 x 223

Prime factors of 914 are 2 x 457

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 560, 892, 914, 918 is 2.

Given numbers are 560, 892, 914, 918

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

Apply this formula for all numbers.

Step1:

LCM(560, 892) = 124880

GCD(560, 892) = ( 560 x 892 ) / 124880

= 560 / 892

= 560

Step2:

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

= 4 / 914

= 4

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 560, 892, 914, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 248, 301, 948
• GCD of 472, 905, 264, 355
• GCD of 494, 918, 120, 421
• GCD of 539, 598, 388, 542
• GCD of 275, 215, 699, 604

Given numbers are 560, 892, 914, 918
The greatest common divisor of numbers 560, 892, 914, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 892, 914, 918 is 2.

1. What is the GCD of 560, 892, 914, 918?

GCD of given numbers 560, 892, 914, 918 is 2

2. How to calculate the greatest common divisor of 560, 892, 914, 918?

We can find the highest common divisor of 560, 892, 914, 918 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 560, 892, 914, 918 i.e 2.

3. How can I use the GCD of 560, 892, 914, 918Calculator?

Out the numbers 560, 892, 914, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.