GCD of 972, 292, 726, 169 Calculator

Given Input numbers are 972, 292, 726, 169

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (972, 292, 726, 169) = 1.

Given numbers are 972, 292, 726, 169

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 292 are 2 x 2 x 73

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 169 are 13 x 13

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

Given numbers are 972, 292, 726, 169

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

Apply this formula for all numbers.

Step1:

LCM(972, 292) = 70956

GCD(972, 292) = ( 972 x 292 ) / 70956

= 972 / 292

= 972

Step2:

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

= 4 / 726

= 4

Step3:

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

= 2 / 169

= 2

So, Greatest Common Divisor of 972, 292, 726, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 450, 454, 431
• GCD of 629, 896, 673, 955
• GCD of 715, 444, 987, 753
• GCD of 126, 395, 607, 973
• GCD of 527, 646, 650, 828

Given numbers are 972, 292, 726, 169
The greatest common divisor of numbers 972, 292, 726, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 292, 726, 169 is 1.

1. What is the GCD of 972, 292, 726, 169?

GCD of given numbers 972, 292, 726, 169 is 1

2. How to calculate the greatest common divisor of 972, 292, 726, 169?

We can find the highest common divisor of 972, 292, 726, 169 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, 292, 726, 169 i.e 1.

3. How can I use the GCD of 972, 292, 726, 169Calculator?

Out the numbers 972, 292, 726, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.