GCD of 825, 738, 77, 504 Calculator

Given Input numbers are 825, 738, 77, 504

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

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

GCD of numbers is the greatest common divisor

So, the GCD (825, 738, 77, 504) = 1.

Given numbers are 825, 738, 77, 504

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 77 are 7 x 11

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

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

Given numbers are 825, 738, 77, 504

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

Apply this formula for all numbers.

Step1:

LCM(825, 738) = 202950

GCD(825, 738) = ( 825 x 738 ) / 202950

= 825 / 738

= 825

Step2:

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

= 3 / 77

= 3

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 825, 738, 77, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 533, 77, 444
• GCD of 943, 117, 63, 385
• GCD of 676, 548, 97, 445
• GCD of 346, 573, 75, 314
• GCD of 954, 355, 98, 606

Given numbers are 825, 738, 77, 504
The greatest common divisor of numbers 825, 738, 77, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 738, 77, 504 is 1.

1. What is the GCD of 825, 738, 77, 504?

GCD of given numbers 825, 738, 77, 504 is 1

2. How to calculate the greatest common divisor of 825, 738, 77, 504?

We can find the highest common divisor of 825, 738, 77, 504 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 825, 738, 77, 504 i.e 1.

3. How can I use the GCD of 825, 738, 77, 504Calculator?

Out the numbers 825, 738, 77, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.