GCD of 921, 585, 972, 347 Calculator

Given Input numbers are 921, 585, 972, 347

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

GCD of numbers is the greatest common divisor

So, the GCD (921, 585, 972, 347) = 1.

Given numbers are 921, 585, 972, 347

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 347 are 347

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

Given numbers are 921, 585, 972, 347

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

Apply this formula for all numbers.

Step1:

LCM(921, 585) = 179595

GCD(921, 585) = ( 921 x 585 ) / 179595

= 921 / 585

= 921

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

= 3 / 347

= 3

So, Greatest Common Divisor of 921, 585, 972, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 398, 154, 510
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• GCD of 917, 909, 901, 575
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• GCD of 875, 653, 633, 231

Given numbers are 921, 585, 972, 347
The greatest common divisor of numbers 921, 585, 972, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 585, 972, 347 is 1.

1. What is the GCD of 921, 585, 972, 347?

GCD of given numbers 921, 585, 972, 347 is 1

2. How to calculate the greatest common divisor of 921, 585, 972, 347?

We can find the highest common divisor of 921, 585, 972, 347 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 921, 585, 972, 347 i.e 1.

3. How can I use the GCD of 921, 585, 972, 347Calculator?

Out the numbers 921, 585, 972, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.