GCD of 823, 651, 674, 972 Calculator

Given Input numbers are 823, 651, 674, 972

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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

GCD of numbers is the greatest common divisor

So, the GCD (823, 651, 674, 972) = 1.

Given numbers are 823, 651, 674, 972

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 651 are 3 x 7 x 31

Prime factors of 674 are 2 x 337

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

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

Given numbers are 823, 651, 674, 972

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

Apply this formula for all numbers.

Step1:

LCM(823, 651) = 535773

GCD(823, 651) = ( 823 x 651 ) / 535773

= 823 / 651

= 823

Step2:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 823, 651, 674, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 429, 722, 117
• GCD of 348, 667, 504, 660
• GCD of 309, 251, 261, 886
• GCD of 756, 217, 336, 975
• GCD of 306, 409, 277, 100

Given numbers are 823, 651, 674, 972
The greatest common divisor of numbers 823, 651, 674, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 651, 674, 972 is 1.

1. What is the GCD of 823, 651, 674, 972?

GCD of given numbers 823, 651, 674, 972 is 1

2. How to calculate the greatest common divisor of 823, 651, 674, 972?

We can find the highest common divisor of 823, 651, 674, 972 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 823, 651, 674, 972 i.e 1.

3. How can I use the GCD of 823, 651, 674, 972Calculator?

Out the numbers 823, 651, 674, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.