GCD of 900, 656, 792, 140 Calculator

Given Input numbers are 900, 656, 792, 140

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 656, 792, 140) = 4.

Given numbers are 900, 656, 792, 140

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

The highest common occurrence is 2²

Therefore, GCD of 900, 656, 792, 140 is 4.

Given numbers are 900, 656, 792, 140

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

Apply this formula for all numbers.

Step1:

LCM(900, 656) = 147600

GCD(900, 656) = ( 900 x 656 ) / 147600

= 900 / 656

= 900

Step2:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4

Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 900, 656, 792, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 395, 975, 226
• GCD of 955, 513, 112, 515
• GCD of 371, 281, 554, 825
• GCD of 110, 531, 264, 875
• GCD of 921, 602, 149, 305

Given numbers are 900, 656, 792, 140
The greatest common divisor of numbers 900, 656, 792, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 656, 792, 140 is 4.

1. What is the GCD of 900, 656, 792, 140?

GCD of given numbers 900, 656, 792, 140 is 4

2. How to calculate the greatest common divisor of 900, 656, 792, 140?

We can find the highest common divisor of 900, 656, 792, 140 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, 656, 792, 140 i.e 4.

3. How can I use the GCD of 900, 656, 792, 140Calculator?

Out the numbers 900, 656, 792, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.