GCD of 900, 268, 680, 372 Calculator

Given Input numbers are 900, 268, 680, 372

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (900, 268, 680, 372) = 4.

Given numbers are 900, 268, 680, 372

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 268 are 2 x 2 x 67

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2²

Therefore, GCD of 900, 268, 680, 372 is 4.

Given numbers are 900, 268, 680, 372

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

Apply this formula for all numbers.

Step1:

LCM(900, 268) = 60300

GCD(900, 268) = ( 900 x 268 ) / 60300

= 900 / 268

= 900

Step2:

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

= 4 / 680

= 4

Step3:

LCM(4, 372) = 372

GCD(4, 372) = ( 4 x 372 ) / 372

= 4 / 372

= 4

So, Greatest Common Divisor of 900, 268, 680, 372 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 976, 132, 933
• GCD of 119, 382, 608, 880
• GCD of 362, 752, 436, 258
• GCD of 361, 805, 398, 484
• GCD of 396, 404, 436, 781

Given numbers are 900, 268, 680, 372
The greatest common divisor of numbers 900, 268, 680, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 268, 680, 372 is 4.

1. What is the GCD of 900, 268, 680, 372?

GCD of given numbers 900, 268, 680, 372 is 4

2. How to calculate the greatest common divisor of 900, 268, 680, 372?

We can find the highest common divisor of 900, 268, 680, 372 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, 268, 680, 372 i.e 4.

3. How can I use the GCD of 900, 268, 680, 372Calculator?

Out the numbers 900, 268, 680, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.