GCD of 276, 900, 397, 420 Calculator

Given Input numbers are 276, 900, 397, 420

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 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 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (276, 900, 397, 420) = 1.

Given numbers are 276, 900, 397, 420

The list of prime factors of all numbers are

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

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

Prime factors of 397 are 397

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 276, 900, 397, 420

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

Apply this formula for all numbers.

Step1:

LCM(276, 900) = 20700

GCD(276, 900) = ( 276 x 900 ) / 20700

= 276 / 900

= 276

Step2:

LCM(12, 397) = 4764

GCD(12, 397) = ( 12 x 397 ) / 4764

= 12 / 397

= 12

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 276, 900, 397, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 183, 932, 102
• GCD of 583, 137, 257, 323
• GCD of 855, 249, 775, 169
• GCD of 774, 258, 818, 416
• GCD of 902, 121, 442, 235

Given numbers are 276, 900, 397, 420
The greatest common divisor of numbers 276, 900, 397, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 900, 397, 420 is 1.

1. What is the GCD of 276, 900, 397, 420?

GCD of given numbers 276, 900, 397, 420 is 1

2. How to calculate the greatest common divisor of 276, 900, 397, 420?

We can find the highest common divisor of 276, 900, 397, 420 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, 900, 397, 420 i.e 1.

3. How can I use the GCD of 276, 900, 397, 420Calculator?

Out the numbers 276, 900, 397, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.