GCD of 828, 977, 491, 200 Calculator

Given Input numbers are 828, 977, 491, 200

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 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 977, 491, 200) = 1.

Given numbers are 828, 977, 491, 200

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 977 are 977

Prime factors of 491 are 491

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

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

Given numbers are 828, 977, 491, 200

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

Apply this formula for all numbers.

Step1:

LCM(828, 977) = 808956

GCD(828, 977) = ( 828 x 977 ) / 808956

= 828 / 977

= 828

Step2:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 828, 977, 491, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 243, 547, 849
• GCD of 542, 987, 675, 390
• GCD of 636, 234, 183, 398
• GCD of 736, 857, 581, 574
• GCD of 226, 272, 676, 418

Given numbers are 828, 977, 491, 200
The greatest common divisor of numbers 828, 977, 491, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 977, 491, 200 is 1.

1. What is the GCD of 828, 977, 491, 200?

GCD of given numbers 828, 977, 491, 200 is 1

2. How to calculate the greatest common divisor of 828, 977, 491, 200?

We can find the highest common divisor of 828, 977, 491, 200 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, 977, 491, 200 i.e 1.

3. How can I use the GCD of 828, 977, 491, 200Calculator?

Out the numbers 828, 977, 491, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.