GCD of 276, 284, 900, 280 Calculator

Given Input numbers are 276, 284, 900, 280

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (276, 284, 900, 280) = 4.

Given numbers are 276, 284, 900, 280

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 284 are 2 x 2 x 71

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 276, 284, 900, 280 is 4.

Given numbers are 276, 284, 900, 280

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

Apply this formula for all numbers.

Step1:

LCM(276, 284) = 19596

GCD(276, 284) = ( 276 x 284 ) / 19596

= 276 / 284

= 276

Step2:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

Step3:

LCM(4, 280) = 280

GCD(4, 280) = ( 4 x 280 ) / 280

= 4 / 280

= 4

So, Greatest Common Divisor of 276, 284, 900, 280 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 992, 738, 756
• GCD of 215, 239, 969, 296
• GCD of 947, 455, 206, 506
• GCD of 449, 445, 275, 658
• GCD of 700, 616, 704, 905

Given numbers are 276, 284, 900, 280
The greatest common divisor of numbers 276, 284, 900, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 284, 900, 280 is 4.

1. What is the GCD of 276, 284, 900, 280?

GCD of given numbers 276, 284, 900, 280 is 4

2. How to calculate the greatest common divisor of 276, 284, 900, 280?

We can find the highest common divisor of 276, 284, 900, 280 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 276, 284, 900, 280 i.e 4.

3. How can I use the GCD of 276, 284, 900, 280Calculator?

Out the numbers 276, 284, 900, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.