GCD of 504, 297, 969, 906 Calculator

Given Input numbers are 504, 297, 969, 906

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 969 :

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

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

GCD of numbers is the greatest common divisor

So, the GCD (504, 297, 969, 906) = 3.

Given numbers are 504, 297, 969, 906

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 969 are 3 x 17 x 19

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 504, 297, 969, 906 is 3.

Given numbers are 504, 297, 969, 906

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

Apply this formula for all numbers.

Step1:

LCM(504, 297) = 16632

GCD(504, 297) = ( 504 x 297 ) / 16632

= 504 / 297

= 504

Step2:

LCM(9, 969) = 2907

GCD(9, 969) = ( 9 x 969 ) / 2907

= 9 / 969

= 9

Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3

So, Greatest Common Divisor of 504, 297, 969, 906 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 714, 623, 214
• GCD of 240, 844, 743, 598
• GCD of 769, 837, 813, 356
• GCD of 305, 314, 704, 878
• GCD of 729, 134, 545, 709

Given numbers are 504, 297, 969, 906
The greatest common divisor of numbers 504, 297, 969, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 297, 969, 906 is 3.

1. What is the GCD of 504, 297, 969, 906?

GCD of given numbers 504, 297, 969, 906 is 3

2. How to calculate the greatest common divisor of 504, 297, 969, 906?

We can find the highest common divisor of 504, 297, 969, 906 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 504, 297, 969, 906 i.e 3.

3. How can I use the GCD of 504, 297, 969, 906Calculator?

Out the numbers 504, 297, 969, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.