GCD of 504, 969, 704, 896 Calculator

Given Input numbers are 504, 969, 704, 896

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 969 :

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (504, 969, 704, 896) = 1.

Given numbers are 504, 969, 704, 896

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 969 are 3 x 17 x 19

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 504, 969, 704, 896

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

Apply this formula for all numbers.

Step1:

LCM(504, 969) = 162792

GCD(504, 969) = ( 504 x 969 ) / 162792

= 504 / 969

= 504

Step2:

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

= 3 / 704

= 3

Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

So, Greatest Common Divisor of 504, 969, 704, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 507, 548, 971
• GCD of 599, 184, 716, 400
• GCD of 646, 908, 769, 750
• GCD of 475, 888, 918, 243
• GCD of 528, 435, 729, 155

Given numbers are 504, 969, 704, 896
The greatest common divisor of numbers 504, 969, 704, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 969, 704, 896 is 1.

1. What is the GCD of 504, 969, 704, 896?

GCD of given numbers 504, 969, 704, 896 is 1

2. How to calculate the greatest common divisor of 504, 969, 704, 896?

We can find the highest common divisor of 504, 969, 704, 896 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, 969, 704, 896 i.e 1.

3. How can I use the GCD of 504, 969, 704, 896Calculator?

Out the numbers 504, 969, 704, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.