GCD of 916, 972, 290, 901 Calculator

Given Input numbers are 916, 972, 290, 901

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 290 :

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

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

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

GCD of numbers is the greatest common divisor

So, the GCD (916, 972, 290, 901) = 1.

Given numbers are 916, 972, 290, 901

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 290 are 2 x 5 x 29

Prime factors of 901 are 17 x 53

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

Given numbers are 916, 972, 290, 901

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

Apply this formula for all numbers.

Step1:

LCM(916, 972) = 222588

GCD(916, 972) = ( 916 x 972 ) / 222588

= 916 / 972

= 916

Step2:

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

= 4 / 290

= 4

Step3:

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

= 2 / 901

= 2

So, Greatest Common Divisor of 916, 972, 290, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 973, 286, 978
• GCD of 274, 120, 314, 806
• GCD of 116, 913, 544, 482
• GCD of 941, 869, 564, 688
• GCD of 536, 509, 425, 925

Given numbers are 916, 972, 290, 901
The greatest common divisor of numbers 916, 972, 290, 901 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 972, 290, 901 is 1.

1. What is the GCD of 916, 972, 290, 901?

GCD of given numbers 916, 972, 290, 901 is 1

2. How to calculate the greatest common divisor of 916, 972, 290, 901?

We can find the highest common divisor of 916, 972, 290, 901 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 916, 972, 290, 901 i.e 1.

3. How can I use the GCD of 916, 972, 290, 901Calculator?

Out the numbers 916, 972, 290, 901 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.