GCD of 314, 121, 343, 521 Calculator

Given Input numbers are 314, 121, 343, 521

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 121 :

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

1, 11, 121

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (314, 121, 343, 521) = 1.

Given numbers are 314, 121, 343, 521

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 121 are 11 x 11

Prime factors of 343 are 7 x 7 x 7

Prime factors of 521 are 521

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

Given numbers are 314, 121, 343, 521

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

Apply this formula for all numbers.

Step1:

LCM(314, 121) = 37994

GCD(314, 121) = ( 314 x 121 ) / 37994

= 314 / 121

= 314

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

So, Greatest Common Divisor of 314, 121, 343, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 169, 283, 447
• GCD of 771, 676, 791, 436
• GCD of 385, 359, 523, 823
• GCD of 779, 223, 411, 194
• GCD of 854, 998, 318, 900

Given numbers are 314, 121, 343, 521
The greatest common divisor of numbers 314, 121, 343, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 121, 343, 521 is 1.

1. What is the GCD of 314, 121, 343, 521?

GCD of given numbers 314, 121, 343, 521 is 1

2. How to calculate the greatest common divisor of 314, 121, 343, 521?

We can find the highest common divisor of 314, 121, 343, 521 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 314, 121, 343, 521 i.e 1.

3. How can I use the GCD of 314, 121, 343, 521Calculator?

Out the numbers 314, 121, 343, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.