GCD of 921, 960, 126, 969 Calculator

Given Input numbers are 921, 960, 126, 969

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (921, 960, 126, 969) = 3.

Given numbers are 921, 960, 126, 969

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 921, 960, 126, 969 is 3.

Given numbers are 921, 960, 126, 969

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

Apply this formula for all numbers.

Step1:

LCM(921, 960) = 294720

GCD(921, 960) = ( 921 x 960 ) / 294720

= 921 / 960

= 921

Step2:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 921, 960, 126, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 687, 908, 777
• GCD of 629, 400, 968, 213
• GCD of 113, 728, 446, 294
• GCD of 369, 856, 102, 607
• GCD of 295, 171, 706, 847

Given numbers are 921, 960, 126, 969
The greatest common divisor of numbers 921, 960, 126, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 960, 126, 969 is 3.

1. What is the GCD of 921, 960, 126, 969?

GCD of given numbers 921, 960, 126, 969 is 3

2. How to calculate the greatest common divisor of 921, 960, 126, 969?

We can find the highest common divisor of 921, 960, 126, 969 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 921, 960, 126, 969 i.e 3.

3. How can I use the GCD of 921, 960, 126, 969Calculator?

Out the numbers 921, 960, 126, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.