GCD of 972, 692, 896, 455 Calculator

Given Input numbers are 972, 692, 896, 455

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

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (972, 692, 896, 455) = 1.

Given numbers are 972, 692, 896, 455

The list of prime factors of all numbers are

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

Prime factors of 692 are 2 x 2 x 173

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 455 are 5 x 7 x 13

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

Given numbers are 972, 692, 896, 455

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

Apply this formula for all numbers.

Step1:

LCM(972, 692) = 168156

GCD(972, 692) = ( 972 x 692 ) / 168156

= 972 / 692

= 972

Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

Step3:

LCM(4, 455) = 1820

GCD(4, 455) = ( 4 x 455 ) / 1820

= 4 / 455

= 4

So, Greatest Common Divisor of 972, 692, 896, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 995, 208, 944
• GCD of 297, 846, 232, 611
• GCD of 113, 634, 276, 855
• GCD of 789, 505, 107, 216
• GCD of 306, 427, 416, 934

Given numbers are 972, 692, 896, 455
The greatest common divisor of numbers 972, 692, 896, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 692, 896, 455 is 1.

1. What is the GCD of 972, 692, 896, 455?

GCD of given numbers 972, 692, 896, 455 is 1

2. How to calculate the greatest common divisor of 972, 692, 896, 455?

We can find the highest common divisor of 972, 692, 896, 455 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 972, 692, 896, 455 i.e 1.

3. How can I use the GCD of 972, 692, 896, 455Calculator?

Out the numbers 972, 692, 896, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.