GCD of 821, 954, 475, 343 Calculator

Given Input numbers are 821, 954, 475, 343

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (821, 954, 475, 343) = 1.

Given numbers are 821, 954, 475, 343

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 475 are 5 x 5 x 19

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 821, 954, 475, 343

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

Apply this formula for all numbers.

Step1:

LCM(821, 954) = 783234

GCD(821, 954) = ( 821 x 954 ) / 783234

= 821 / 954

= 821

Step2:

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

= 1 / 475

= 1

Step3:

LCM(1, 343) = 343

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

= 1 / 343

= 1

So, Greatest Common Divisor of 821, 954, 475, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 877, 390, 182
• GCD of 707, 722, 677, 309
• GCD of 838, 495, 928, 561
• GCD of 644, 339, 457, 866
• GCD of 349, 401, 499, 909

Given numbers are 821, 954, 475, 343
The greatest common divisor of numbers 821, 954, 475, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 954, 475, 343 is 1.

1. What is the GCD of 821, 954, 475, 343?

GCD of given numbers 821, 954, 475, 343 is 1

2. How to calculate the greatest common divisor of 821, 954, 475, 343?

We can find the highest common divisor of 821, 954, 475, 343 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 821, 954, 475, 343 i.e 1.

3. How can I use the GCD of 821, 954, 475, 343Calculator?

Out the numbers 821, 954, 475, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.