GCD of 984, 400, 429, 979 Calculator

Given Input numbers are 984, 400, 429, 979

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

GCD of numbers is the greatest common divisor

So, the GCD (984, 400, 429, 979) = 1.

Given numbers are 984, 400, 429, 979

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 429 are 3 x 11 x 13

Prime factors of 979 are 11 x 89

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

Given numbers are 984, 400, 429, 979

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

Apply this formula for all numbers.

Step1:

LCM(984, 400) = 49200

GCD(984, 400) = ( 984 x 400 ) / 49200

= 984 / 400

= 984

Step2:

LCM(8, 429) = 3432

GCD(8, 429) = ( 8 x 429 ) / 3432

= 8 / 429

= 8

Step3:

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

= 1 / 979

= 1

So, Greatest Common Divisor of 984, 400, 429, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 592, 374, 194
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• GCD of 907, 479, 834, 111
• GCD of 805, 247, 285, 734

Given numbers are 984, 400, 429, 979
The greatest common divisor of numbers 984, 400, 429, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 400, 429, 979 is 1.

1. What is the GCD of 984, 400, 429, 979?

GCD of given numbers 984, 400, 429, 979 is 1

2. How to calculate the greatest common divisor of 984, 400, 429, 979?

We can find the highest common divisor of 984, 400, 429, 979 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 984, 400, 429, 979 i.e 1.

3. How can I use the GCD of 984, 400, 429, 979Calculator?

Out the numbers 984, 400, 429, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.