GCD of 900, 950, 762, 966 Calculator

Given Input numbers are 900, 950, 762, 966

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 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (900, 950, 762, 966) = 2.

Given numbers are 900, 950, 762, 966

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 950 are 2 x 5 x 5 x 19

Prime factors of 762 are 2 x 3 x 127

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 900, 950, 762, 966 is 2.

Given numbers are 900, 950, 762, 966

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

Apply this formula for all numbers.

Step1:

LCM(900, 950) = 17100

GCD(900, 950) = ( 900 x 950 ) / 17100

= 900 / 950

= 900

Step2:

LCM(50, 762) = 19050

GCD(50, 762) = ( 50 x 762 ) / 19050

= 50 / 762

= 50

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 900, 950, 762, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 342, 562, 404
• GCD of 650, 932, 100, 778
• GCD of 723, 127, 787, 607
• GCD of 412, 638, 342, 335
• GCD of 214, 362, 249, 698

Given numbers are 900, 950, 762, 966
The greatest common divisor of numbers 900, 950, 762, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 950, 762, 966 is 2.

1. What is the GCD of 900, 950, 762, 966?

GCD of given numbers 900, 950, 762, 966 is 2

2. How to calculate the greatest common divisor of 900, 950, 762, 966?

We can find the highest common divisor of 900, 950, 762, 966 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, 950, 762, 966 i.e 2.

3. How can I use the GCD of 900, 950, 762, 966Calculator?

Out the numbers 900, 950, 762, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.