GCD of 421, 121, 508, 314 Calculator

Given Input numbers are 421, 121, 508, 314

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (421, 121, 508, 314) = 1.

Given numbers are 421, 121, 508, 314

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 121 are 11 x 11

Prime factors of 508 are 2 x 2 x 127

Prime factors of 314 are 2 x 157

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

Given numbers are 421, 121, 508, 314

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

Apply this formula for all numbers.

Step1:

LCM(421, 121) = 50941

GCD(421, 121) = ( 421 x 121 ) / 50941

= 421 / 121

= 421

Step2:

LCM(1, 508) = 508

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

= 1 / 508

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 421, 121, 508, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 342, 684, 288
• GCD of 687, 373, 565, 987
• GCD of 314, 189, 309, 333
• GCD of 186, 712, 337, 273
• GCD of 261, 726, 476, 311

Given numbers are 421, 121, 508, 314
The greatest common divisor of numbers 421, 121, 508, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 121, 508, 314 is 1.

1. What is the GCD of 421, 121, 508, 314?

GCD of given numbers 421, 121, 508, 314 is 1

2. How to calculate the greatest common divisor of 421, 121, 508, 314?

We can find the highest common divisor of 421, 121, 508, 314 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 421, 121, 508, 314 i.e 1.

3. How can I use the GCD of 421, 121, 508, 314Calculator?

Out the numbers 421, 121, 508, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.