GCD of 100, 562, 960, 286 Calculator

Given Input numbers are 100, 562, 960, 286

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (100, 562, 960, 286) = 2.

Given numbers are 100, 562, 960, 286

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 562 are 2 x 281

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 286 are 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 100, 562, 960, 286 is 2.

Given numbers are 100, 562, 960, 286

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

Apply this formula for all numbers.

Step1:

LCM(100, 562) = 28100

GCD(100, 562) = ( 100 x 562 ) / 28100

= 100 / 562

= 100

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

So, Greatest Common Divisor of 100, 562, 960, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 181, 231, 922
• GCD of 405, 575, 284, 690
• GCD of 678, 725, 919, 921
• GCD of 983, 378, 543, 573
• GCD of 940, 162, 718, 951

Given numbers are 100, 562, 960, 286
The greatest common divisor of numbers 100, 562, 960, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 562, 960, 286 is 2.

1. What is the GCD of 100, 562, 960, 286?

GCD of given numbers 100, 562, 960, 286 is 2

2. How to calculate the greatest common divisor of 100, 562, 960, 286?

We can find the highest common divisor of 100, 562, 960, 286 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 100, 562, 960, 286 i.e 2.

3. How can I use the GCD of 100, 562, 960, 286Calculator?

Out the numbers 100, 562, 960, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.