GCD of 828, 200, 177, 975 Calculator

Given Input numbers are 828, 200, 177, 975

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

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 (828, 200, 177, 975) = 1.

Given numbers are 828, 200, 177, 975

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 177 are 3 x 59

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 828, 200, 177, 975

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

Apply this formula for all numbers.

Step1:

LCM(828, 200) = 41400

GCD(828, 200) = ( 828 x 200 ) / 41400

= 828 / 200

= 828

Step2:

LCM(4, 177) = 708

GCD(4, 177) = ( 4 x 177 ) / 708

= 4 / 177

= 4

Step3:

LCM(1, 975) = 975

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

= 1 / 975

= 1

So, Greatest Common Divisor of 828, 200, 177, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 256, 942, 610
• GCD of 683, 666, 120, 511
• GCD of 494, 750, 505, 158
• GCD of 222, 301, 188, 845
• GCD of 952, 635, 731, 202

Given numbers are 828, 200, 177, 975
The greatest common divisor of numbers 828, 200, 177, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 200, 177, 975 is 1.

1. What is the GCD of 828, 200, 177, 975?

GCD of given numbers 828, 200, 177, 975 is 1

2. How to calculate the greatest common divisor of 828, 200, 177, 975?

We can find the highest common divisor of 828, 200, 177, 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 828, 200, 177, 975 i.e 1.

3. How can I use the GCD of 828, 200, 177, 975Calculator?

Out the numbers 828, 200, 177, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.