GCD of 916, 400, 984, 907 Calculator

Given Input numbers are 916, 400, 984, 907

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 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 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

GCD of numbers is the greatest common divisor

So, the GCD (916, 400, 984, 907) = 1.

Given numbers are 916, 400, 984, 907

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

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

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

Prime factors of 907 are 907

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

Given numbers are 916, 400, 984, 907

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

Apply this formula for all numbers.

Step1:

LCM(916, 400) = 91600

GCD(916, 400) = ( 916 x 400 ) / 91600

= 916 / 400

= 916

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

Step3:

LCM(4, 907) = 3628

GCD(4, 907) = ( 4 x 907 ) / 3628

= 4 / 907

= 4

So, Greatest Common Divisor of 916, 400, 984, 907 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 803, 849, 943
• GCD of 777, 329, 489, 413
• GCD of 105, 999, 626, 585
• GCD of 219, 368, 448, 736
• GCD of 824, 928, 165, 683

Given numbers are 916, 400, 984, 907
The greatest common divisor of numbers 916, 400, 984, 907 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 400, 984, 907 is 1.

1. What is the GCD of 916, 400, 984, 907?

GCD of given numbers 916, 400, 984, 907 is 1

2. How to calculate the greatest common divisor of 916, 400, 984, 907?

We can find the highest common divisor of 916, 400, 984, 907 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 916, 400, 984, 907 i.e 1.

3. How can I use the GCD of 916, 400, 984, 907Calculator?

Out the numbers 916, 400, 984, 907 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.