GCD of 402, 141, 450, 984 Calculator

Given Input numbers are 402, 141, 450, 984

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 141 :

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

1, 3, 47, 141

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

GCD of numbers is the greatest common divisor

So, the GCD (402, 141, 450, 984) = 3.

Given numbers are 402, 141, 450, 984

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 141 are 3 x 47

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 402, 141, 450, 984 is 3.

Given numbers are 402, 141, 450, 984

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

Apply this formula for all numbers.

Step1:

LCM(402, 141) = 18894

GCD(402, 141) = ( 402 x 141 ) / 18894

= 402 / 141

= 402

Step2:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 402, 141, 450, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 259, 391, 198
• GCD of 752, 239, 779, 540
• GCD of 503, 499, 315, 714
• GCD of 364, 321, 961, 957
• GCD of 578, 320, 552, 211

Given numbers are 402, 141, 450, 984
The greatest common divisor of numbers 402, 141, 450, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 141, 450, 984 is 3.

1. What is the GCD of 402, 141, 450, 984?

GCD of given numbers 402, 141, 450, 984 is 3

2. How to calculate the greatest common divisor of 402, 141, 450, 984?

We can find the highest common divisor of 402, 141, 450, 984 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 402, 141, 450, 984 i.e 3.

3. How can I use the GCD of 402, 141, 450, 984Calculator?

Out the numbers 402, 141, 450, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.