GCD of 420, 270, 404, 276 Calculator

Given Input numbers are 420, 270, 404, 276

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

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 270, 404, 276) = 2.

Given numbers are 420, 270, 404, 276

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 404 are 2 x 2 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 420, 270, 404, 276 is 2.

Given numbers are 420, 270, 404, 276

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

Apply this formula for all numbers.

Step1:

LCM(420, 270) = 3780

GCD(420, 270) = ( 420 x 270 ) / 3780

= 420 / 270

= 420

Step2:

LCM(30, 404) = 6060

GCD(30, 404) = ( 30 x 404 ) / 6060

= 30 / 404

= 30

Step3:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

So, Greatest Common Divisor of 420, 270, 404, 276 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 472, 246, 788
• GCD of 727, 796, 814, 802
• GCD of 340, 393, 595, 172
• GCD of 388, 244, 253, 260
• GCD of 578, 492, 635, 833

Given numbers are 420, 270, 404, 276
The greatest common divisor of numbers 420, 270, 404, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 270, 404, 276 is 2.

1. What is the GCD of 420, 270, 404, 276?

GCD of given numbers 420, 270, 404, 276 is 2

2. How to calculate the greatest common divisor of 420, 270, 404, 276?

We can find the highest common divisor of 420, 270, 404, 276 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 420, 270, 404, 276 i.e 2.

3. How can I use the GCD of 420, 270, 404, 276Calculator?

Out the numbers 420, 270, 404, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.