GCD of 290, 743, 40, 972 Calculator

Given Input numbers are 290, 743, 40, 972

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

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 (290, 743, 40, 972) = 1.

Given numbers are 290, 743, 40, 972

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 743 are 743

Prime factors of 40 are 2 x 2 x 2 x 5

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 290, 743, 40, 972

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

Apply this formula for all numbers.

Step1:

LCM(290, 743) = 215470

GCD(290, 743) = ( 290 x 743 ) / 215470

= 290 / 743

= 290

Step2:

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

= 1 / 40

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 290, 743, 40, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 406, 69, 183
• GCD of 378, 909, 58, 961
• GCD of 612, 290, 94, 862
• GCD of 263, 441, 85, 778
• GCD of 388, 687, 85, 447

Given numbers are 290, 743, 40, 972
The greatest common divisor of numbers 290, 743, 40, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 743, 40, 972 is 1.

1. What is the GCD of 290, 743, 40, 972?

GCD of given numbers 290, 743, 40, 972 is 1

2. How to calculate the greatest common divisor of 290, 743, 40, 972?

We can find the highest common divisor of 290, 743, 40, 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 290, 743, 40, 972 i.e 1.

3. How can I use the GCD of 290, 743, 40, 972Calculator?

Out the numbers 290, 743, 40, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.