GCD of 984, 400, 550, 977 Calculator

Given Input numbers are 984, 400, 550, 977

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 977 :

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

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (984, 400, 550, 977) = 1.

Given numbers are 984, 400, 550, 977

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 550 are 2 x 5 x 5 x 11

Prime factors of 977 are 977

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

Given numbers are 984, 400, 550, 977

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, 550) = 2200

GCD(8, 550) = ( 8 x 550 ) / 2200

= 8 / 550

= 8

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 984, 400, 550, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 419, 138, 321
• GCD of 998, 461, 384, 760
• GCD of 469, 784, 917, 678
• GCD of 711, 435, 340, 108
• GCD of 508, 774, 989, 256

Given numbers are 984, 400, 550, 977
The greatest common divisor of numbers 984, 400, 550, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 400, 550, 977 is 1.

1. What is the GCD of 984, 400, 550, 977?

GCD of given numbers 984, 400, 550, 977 is 1

2. How to calculate the greatest common divisor of 984, 400, 550, 977?

We can find the highest common divisor of 984, 400, 550, 977 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, 550, 977 i.e 1.

3. How can I use the GCD of 984, 400, 550, 977Calculator?

Out the numbers 984, 400, 550, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.