GCD of 400, 270, 87, 684 Calculator

Given Input numbers are 400, 270, 87, 684

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (400, 270, 87, 684) = 1.

Given numbers are 400, 270, 87, 684

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 87 are 3 x 29

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 400, 270, 87, 684

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

Apply this formula for all numbers.

Step1:

LCM(400, 270) = 10800

GCD(400, 270) = ( 400 x 270 ) / 10800

= 400 / 270

= 400

Step2:

LCM(10, 87) = 870

GCD(10, 87) = ( 10 x 87 ) / 870

= 10 / 87

= 10

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 400, 270, 87, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 973, 66, 923
• GCD of 416, 344, 15, 500
• GCD of 207, 186, 15, 116
• GCD of 242, 637, 21, 952
• GCD of 616, 420, 80, 847

Given numbers are 400, 270, 87, 684
The greatest common divisor of numbers 400, 270, 87, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 270, 87, 684 is 1.

1. What is the GCD of 400, 270, 87, 684?

GCD of given numbers 400, 270, 87, 684 is 1

2. How to calculate the greatest common divisor of 400, 270, 87, 684?

We can find the highest common divisor of 400, 270, 87, 684 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, 270, 87, 684 i.e 1.

3. How can I use the GCD of 400, 270, 87, 684Calculator?

Out the numbers 400, 270, 87, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.