GCD of 900, 117, 140, 296 Calculator

Given Input numbers are 900, 117, 140, 296

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (900, 117, 140, 296) = 1.

Given numbers are 900, 117, 140, 296

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 117 are 3 x 3 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 900, 117, 140, 296

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

Apply this formula for all numbers.

Step1:

LCM(900, 117) = 11700

GCD(900, 117) = ( 900 x 117 ) / 11700

= 900 / 117

= 900

Step2:

LCM(9, 140) = 1260

GCD(9, 140) = ( 9 x 140 ) / 1260

= 9 / 140

= 9

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 900, 117, 140, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 498, 771, 869
• GCD of 322, 736, 315, 789
• GCD of 135, 423, 219, 709
• GCD of 589, 380, 564, 870
• GCD of 432, 537, 791, 406

Given numbers are 900, 117, 140, 296
The greatest common divisor of numbers 900, 117, 140, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 117, 140, 296 is 1.

1. What is the GCD of 900, 117, 140, 296?

GCD of given numbers 900, 117, 140, 296 is 1

2. How to calculate the greatest common divisor of 900, 117, 140, 296?

We can find the highest common divisor of 900, 117, 140, 296 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 900, 117, 140, 296 i.e 1.

3. How can I use the GCD of 900, 117, 140, 296Calculator?

Out the numbers 900, 117, 140, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.