GCD of 402, 903, 474, 747 Calculator

Given Input numbers are 402, 903, 474, 747

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 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (402, 903, 474, 747) = 3.

Given numbers are 402, 903, 474, 747

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 903 are 3 x 7 x 43

Prime factors of 474 are 2 x 3 x 79

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 402, 903, 474, 747 is 3.

Given numbers are 402, 903, 474, 747

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

Apply this formula for all numbers.

Step1:

LCM(402, 903) = 121002

GCD(402, 903) = ( 402 x 903 ) / 121002

= 402 / 903

= 402

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 402, 903, 474, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 241, 834, 522
• GCD of 826, 481, 423, 481
• GCD of 879, 228, 552, 575
• GCD of 712, 313, 505, 663
• GCD of 377, 345, 496, 702

Given numbers are 402, 903, 474, 747
The greatest common divisor of numbers 402, 903, 474, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 903, 474, 747 is 3.

1. What is the GCD of 402, 903, 474, 747?

GCD of given numbers 402, 903, 474, 747 is 3

2. How to calculate the greatest common divisor of 402, 903, 474, 747?

We can find the highest common divisor of 402, 903, 474, 747 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, 903, 474, 747 i.e 3.

3. How can I use the GCD of 402, 903, 474, 747Calculator?

Out the numbers 402, 903, 474, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.