GCD of 422, 270, 726, 420 Calculator

Given Input numbers are 422, 270, 726, 420

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 (422, 270, 726, 420) = 2.

Given numbers are 422, 270, 726, 420

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

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

Prime factors of 726 are 2 x 3 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 422, 270, 726, 420 is 2.

Given numbers are 422, 270, 726, 420

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

Apply this formula for all numbers.

Step1:

LCM(422, 270) = 56970

GCD(422, 270) = ( 422 x 270 ) / 56970

= 422 / 270

= 422

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 422, 270, 726, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 243, 790, 577
• GCD of 445, 233, 209, 842
• GCD of 570, 756, 398, 165
• GCD of 371, 660, 639, 573
• GCD of 345, 667, 909, 113

Given numbers are 422, 270, 726, 420
The greatest common divisor of numbers 422, 270, 726, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 270, 726, 420 is 2.

1. What is the GCD of 422, 270, 726, 420?

GCD of given numbers 422, 270, 726, 420 is 2

2. How to calculate the greatest common divisor of 422, 270, 726, 420?

We can find the highest common divisor of 422, 270, 726, 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 422, 270, 726, 420 i.e 2.

3. How can I use the GCD of 422, 270, 726, 420Calculator?

Out the numbers 422, 270, 726, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.