GCD of 253, 510, 355, 420 Calculator

Given Input numbers are 253, 510, 355, 420

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 (253, 510, 355, 420) = 1.

Given numbers are 253, 510, 355, 420

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 355 are 5 x 71

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 253, 510, 355, 420

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

Apply this formula for all numbers.

Step1:

LCM(253, 510) = 129030

GCD(253, 510) = ( 253 x 510 ) / 129030

= 253 / 510

= 253

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 253, 510, 355, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 583, 474, 886
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Given numbers are 253, 510, 355, 420
The greatest common divisor of numbers 253, 510, 355, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 510, 355, 420 is 1.

1. What is the GCD of 253, 510, 355, 420?

GCD of given numbers 253, 510, 355, 420 is 1

2. How to calculate the greatest common divisor of 253, 510, 355, 420?

We can find the highest common divisor of 253, 510, 355, 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 253, 510, 355, 420 i.e 1.

3. How can I use the GCD of 253, 510, 355, 420Calculator?

Out the numbers 253, 510, 355, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.