GCD of 275, 264, 422, 420 Calculator

Given Input numbers are 275, 264, 422, 420

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

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 422 :

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

1, 2, 211, 422

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 (275, 264, 422, 420) = 1.

Given numbers are 275, 264, 422, 420

The list of prime factors of all numbers are

Prime factors of 275 are 5 x 5 x 11

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 422 are 2 x 211

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 275, 264, 422, 420

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

Apply this formula for all numbers.

Step1:

LCM(275, 264) = 6600

GCD(275, 264) = ( 275 x 264 ) / 6600

= 275 / 264

= 275

Step2:

LCM(11, 422) = 4642

GCD(11, 422) = ( 11 x 422 ) / 4642

= 11 / 422

= 11

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 275, 264, 422, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 725, 624, 543
• GCD of 563, 721, 347, 908
• GCD of 484, 170, 250, 974
• GCD of 309, 340, 198, 271
• GCD of 106, 573, 824, 460

Given numbers are 275, 264, 422, 420
The greatest common divisor of numbers 275, 264, 422, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 264, 422, 420 is 1.

1. What is the GCD of 275, 264, 422, 420?

GCD of given numbers 275, 264, 422, 420 is 1

2. How to calculate the greatest common divisor of 275, 264, 422, 420?

We can find the highest common divisor of 275, 264, 422, 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 275, 264, 422, 420 i.e 1.

3. How can I use the GCD of 275, 264, 422, 420Calculator?

Out the numbers 275, 264, 422, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.