GCD of 900, 380, 890, 526 Calculator

Given Input numbers are 900, 380, 890, 526

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

GCD of numbers is the greatest common divisor

So, the GCD (900, 380, 890, 526) = 2.

Given numbers are 900, 380, 890, 526

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 380 are 2 x 2 x 5 x 19

Prime factors of 890 are 2 x 5 x 89

Prime factors of 526 are 2 x 263

The highest common occurrence is 2¹

Therefore, GCD of 900, 380, 890, 526 is 2.

Given numbers are 900, 380, 890, 526

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

Apply this formula for all numbers.

Step1:

LCM(900, 380) = 17100

GCD(900, 380) = ( 900 x 380 ) / 17100

= 900 / 380

= 900

Step2:

LCM(20, 890) = 1780

GCD(20, 890) = ( 20 x 890 ) / 1780

= 20 / 890

= 20

Step3:

LCM(10, 526) = 2630

GCD(10, 526) = ( 10 x 526 ) / 2630

= 10 / 526

= 10

So, Greatest Common Divisor of 900, 380, 890, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 980, 201, 910
• GCD of 362, 733, 326, 371
• GCD of 794, 871, 460, 705
• GCD of 828, 261, 678, 364
• GCD of 598, 462, 889, 591

Given numbers are 900, 380, 890, 526
The greatest common divisor of numbers 900, 380, 890, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 380, 890, 526 is 2.

1. What is the GCD of 900, 380, 890, 526?

GCD of given numbers 900, 380, 890, 526 is 2

2. How to calculate the greatest common divisor of 900, 380, 890, 526?

We can find the highest common divisor of 900, 380, 890, 526 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, 380, 890, 526 i.e 2.

3. How can I use the GCD of 900, 380, 890, 526Calculator?

Out the numbers 900, 380, 890, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.