GCD of 400, 300, 77, 558 Calculator

Given Input numbers are 400, 300, 77, 558

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (400, 300, 77, 558) = 1.

Given numbers are 400, 300, 77, 558

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 77 are 7 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 400, 300, 77, 558

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

Apply this formula for all numbers.

Step1:

LCM(400, 300) = 1200

GCD(400, 300) = ( 400 x 300 ) / 1200

= 400 / 300

= 400

Step2:

LCM(100, 77) = 7700

GCD(100, 77) = ( 100 x 77 ) / 7700

= 100 / 77

= 100

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 400, 300, 77, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 205, 39, 839
• GCD of 782, 471, 62, 537
• GCD of 569, 188, 18, 572
• GCD of 200, 816, 31, 163
• GCD of 718, 905, 77, 461

Given numbers are 400, 300, 77, 558
The greatest common divisor of numbers 400, 300, 77, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 300, 77, 558 is 1.

1. What is the GCD of 400, 300, 77, 558?

GCD of given numbers 400, 300, 77, 558 is 1

2. How to calculate the greatest common divisor of 400, 300, 77, 558?

We can find the highest common divisor of 400, 300, 77, 558 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 400, 300, 77, 558 i.e 1.

3. How can I use the GCD of 400, 300, 77, 558Calculator?

Out the numbers 400, 300, 77, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.