GCD of 900, 656, 868, 214 Calculator

Given Input numbers are 900, 656, 868, 214

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (900, 656, 868, 214) = 2.

Given numbers are 900, 656, 868, 214

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 900, 656, 868, 214 is 2.

Given numbers are 900, 656, 868, 214

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

Apply this formula for all numbers.

Step1:

LCM(900, 656) = 147600

GCD(900, 656) = ( 900 x 656 ) / 147600

= 900 / 656

= 900

Step2:

LCM(4, 868) = 868

GCD(4, 868) = ( 4 x 868 ) / 868

= 4 / 868

= 4

Step3:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

So, Greatest Common Divisor of 900, 656, 868, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 539, 712, 602
• GCD of 942, 328, 724, 402
• GCD of 146, 740, 793, 358
• GCD of 659, 309, 276, 868
• GCD of 893, 706, 670, 784

Given numbers are 900, 656, 868, 214
The greatest common divisor of numbers 900, 656, 868, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 656, 868, 214 is 2.

1. What is the GCD of 900, 656, 868, 214?

GCD of given numbers 900, 656, 868, 214 is 2

2. How to calculate the greatest common divisor of 900, 656, 868, 214?

We can find the highest common divisor of 900, 656, 868, 214 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 900, 656, 868, 214 i.e 2.

3. How can I use the GCD of 900, 656, 868, 214Calculator?

Out the numbers 900, 656, 868, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.