GCD of 400, 984, 141, 318 Calculator

Given Input numbers are 400, 984, 141, 318

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 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 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (400, 984, 141, 318) = 1.

Given numbers are 400, 984, 141, 318

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 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 141 are 3 x 47

Prime factors of 318 are 2 x 3 x 53

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

Given numbers are 400, 984, 141, 318

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

Apply this formula for all numbers.

Step1:

LCM(400, 984) = 49200

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

= 400 / 984

= 400

Step2:

LCM(8, 141) = 1128

GCD(8, 141) = ( 8 x 141 ) / 1128

= 8 / 141

= 8

Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

So, Greatest Common Divisor of 400, 984, 141, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 874, 231, 545
• GCD of 374, 598, 891, 175
• GCD of 593, 633, 252, 259
• GCD of 134, 351, 611, 824
• GCD of 824, 688, 792, 881

Given numbers are 400, 984, 141, 318
The greatest common divisor of numbers 400, 984, 141, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 984, 141, 318 is 1.

1. What is the GCD of 400, 984, 141, 318?

GCD of given numbers 400, 984, 141, 318 is 1

2. How to calculate the greatest common divisor of 400, 984, 141, 318?

We can find the highest common divisor of 400, 984, 141, 318 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, 984, 141, 318 i.e 1.

3. How can I use the GCD of 400, 984, 141, 318Calculator?

Out the numbers 400, 984, 141, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.