GCD of 975, 904, 172, 984 Calculator

Given Input numbers are 975, 904, 172, 984

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

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (975, 904, 172, 984) = 1.

Given numbers are 975, 904, 172, 984

The list of prime factors of all numbers are

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

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 172 are 2 x 2 x 43

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 975, 904, 172, 984

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

Apply this formula for all numbers.

Step1:

LCM(975, 904) = 881400

GCD(975, 904) = ( 975 x 904 ) / 881400

= 975 / 904

= 975

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 975, 904, 172, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 871, 753, 716
• GCD of 696, 305, 528, 168
• GCD of 780, 322, 582, 373
• GCD of 849, 334, 730, 440
• GCD of 191, 349, 659, 100

Given numbers are 975, 904, 172, 984
The greatest common divisor of numbers 975, 904, 172, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 904, 172, 984 is 1.

1. What is the GCD of 975, 904, 172, 984?

GCD of given numbers 975, 904, 172, 984 is 1

2. How to calculate the greatest common divisor of 975, 904, 172, 984?

We can find the highest common divisor of 975, 904, 172, 984 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 975, 904, 172, 984 i.e 1.

3. How can I use the GCD of 975, 904, 172, 984Calculator?

Out the numbers 975, 904, 172, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.