GCD of 402, 300, 249, 954 Calculator

Given Input numbers are 402, 300, 249, 954

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 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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (402, 300, 249, 954) = 3.

Given numbers are 402, 300, 249, 954

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 249 are 3 x 83

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 402, 300, 249, 954 is 3.

Given numbers are 402, 300, 249, 954

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

Apply this formula for all numbers.

Step1:

LCM(402, 300) = 20100

GCD(402, 300) = ( 402 x 300 ) / 20100

= 402 / 300

= 402

Step2:

LCM(6, 249) = 498

GCD(6, 249) = ( 6 x 249 ) / 498

= 6 / 249

= 6

Step3:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

So, Greatest Common Divisor of 402, 300, 249, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 265, 482, 669
• GCD of 143, 783, 235, 290
• GCD of 367, 174, 263, 784
• GCD of 924, 677, 640, 719
• GCD of 585, 551, 862, 596

Given numbers are 402, 300, 249, 954
The greatest common divisor of numbers 402, 300, 249, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 300, 249, 954 is 3.

1. What is the GCD of 402, 300, 249, 954?

GCD of given numbers 402, 300, 249, 954 is 3

2. How to calculate the greatest common divisor of 402, 300, 249, 954?

We can find the highest common divisor of 402, 300, 249, 954 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, 300, 249, 954 i.e 3.

3. How can I use the GCD of 402, 300, 249, 954Calculator?

Out the numbers 402, 300, 249, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.