GCD of 972, 741, 32, 686 Calculator

Given Input numbers are 972, 741, 32, 686

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (972, 741, 32, 686) = 1.

Given numbers are 972, 741, 32, 686

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 741 are 3 x 13 x 19

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 972, 741, 32, 686

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

Apply this formula for all numbers.

Step1:

LCM(972, 741) = 240084

GCD(972, 741) = ( 972 x 741 ) / 240084

= 972 / 741

= 972

Step2:

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

= 3 / 32

= 3

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 972, 741, 32, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 969, 91, 327
• GCD of 496, 789, 35, 375
• GCD of 880, 376, 99, 869
• GCD of 405, 941, 17, 122
• GCD of 160, 443, 41, 699

Given numbers are 972, 741, 32, 686
The greatest common divisor of numbers 972, 741, 32, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 741, 32, 686 is 1.

1. What is the GCD of 972, 741, 32, 686?

GCD of given numbers 972, 741, 32, 686 is 1

2. How to calculate the greatest common divisor of 972, 741, 32, 686?

We can find the highest common divisor of 972, 741, 32, 686 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, 741, 32, 686 i.e 1.

3. How can I use the GCD of 972, 741, 32, 686Calculator?

Out the numbers 972, 741, 32, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.