GCD of 825, 735, 896, 975 Calculator

Given Input numbers are 825, 735, 896, 975

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (825, 735, 896, 975) = 1.

Given numbers are 825, 735, 896, 975

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 825, 735, 896, 975

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

Apply this formula for all numbers.

Step1:

LCM(825, 735) = 40425

GCD(825, 735) = ( 825 x 735 ) / 40425

= 825 / 735

= 825

Step2:

LCM(15, 896) = 13440

GCD(15, 896) = ( 15 x 896 ) / 13440

= 15 / 896

= 15

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 825, 735, 896, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 442, 127, 162
• GCD of 194, 940, 196, 998
• GCD of 682, 611, 403, 182
• GCD of 778, 460, 351, 692
• GCD of 121, 651, 537, 101

Given numbers are 825, 735, 896, 975
The greatest common divisor of numbers 825, 735, 896, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 735, 896, 975 is 1.

1. What is the GCD of 825, 735, 896, 975?

GCD of given numbers 825, 735, 896, 975 is 1

2. How to calculate the greatest common divisor of 825, 735, 896, 975?

We can find the highest common divisor of 825, 735, 896, 975 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, 735, 896, 975 i.e 1.

3. How can I use the GCD of 825, 735, 896, 975Calculator?

Out the numbers 825, 735, 896, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.