GCD of 420, 458, 349, 508 Calculator

Given Input numbers are 420, 458, 349, 508

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 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (420, 458, 349, 508) = 1.

Given numbers are 420, 458, 349, 508

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 458 are 2 x 229

Prime factors of 349 are 349

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 420, 458, 349, 508

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

Apply this formula for all numbers.

Step1:

LCM(420, 458) = 96180

GCD(420, 458) = ( 420 x 458 ) / 96180

= 420 / 458

= 420

Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 420, 458, 349, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 862, 344, 469
• GCD of 249, 475, 266, 631
• GCD of 748, 391, 622, 261
• GCD of 117, 937, 240, 247
• GCD of 640, 127, 756, 733

Given numbers are 420, 458, 349, 508
The greatest common divisor of numbers 420, 458, 349, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 458, 349, 508 is 1.

1. What is the GCD of 420, 458, 349, 508?

GCD of given numbers 420, 458, 349, 508 is 1

2. How to calculate the greatest common divisor of 420, 458, 349, 508?

We can find the highest common divisor of 420, 458, 349, 508 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, 458, 349, 508 i.e 1.

3. How can I use the GCD of 420, 458, 349, 508Calculator?

Out the numbers 420, 458, 349, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.