GCD of 975, 369, 822, 983 Calculator

Given Input numbers are 975, 369, 822, 983

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

GCD of numbers is the greatest common divisor

So, the GCD (975, 369, 822, 983) = 1.

Given numbers are 975, 369, 822, 983

The list of prime factors of all numbers are

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

Prime factors of 369 are 3 x 3 x 41

Prime factors of 822 are 2 x 3 x 137

Prime factors of 983 are 983

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

Given numbers are 975, 369, 822, 983

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

Apply this formula for all numbers.

Step1:

LCM(975, 369) = 119925

GCD(975, 369) = ( 975 x 369 ) / 119925

= 975 / 369

= 975

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

= 3 / 983

= 3

So, Greatest Common Divisor of 975, 369, 822, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 288, 509, 616
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• GCD of 427, 733, 833, 897
• GCD of 778, 435, 664, 811
• GCD of 778, 541, 823, 212

Given numbers are 975, 369, 822, 983
The greatest common divisor of numbers 975, 369, 822, 983 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 369, 822, 983 is 1.

1. What is the GCD of 975, 369, 822, 983?

GCD of given numbers 975, 369, 822, 983 is 1

2. How to calculate the greatest common divisor of 975, 369, 822, 983?

We can find the highest common divisor of 975, 369, 822, 983 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, 369, 822, 983 i.e 1.

3. How can I use the GCD of 975, 369, 822, 983Calculator?

Out the numbers 975, 369, 822, 983 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.