GCD of 744, 315, 357, 402 Calculator

Given Input numbers are 744, 315, 357, 402

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 402 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (744, 315, 357, 402) = 3.

Given numbers are 744, 315, 357, 402

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 357 are 3 x 7 x 17

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 744, 315, 357, 402 is 3.

Given numbers are 744, 315, 357, 402

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

Apply this formula for all numbers.

Step1:

LCM(744, 315) = 78120

GCD(744, 315) = ( 744 x 315 ) / 78120

= 744 / 315

= 744

Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 744, 315, 357, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 912, 345, 201
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Given numbers are 744, 315, 357, 402
The greatest common divisor of numbers 744, 315, 357, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 315, 357, 402 is 3.

1. What is the GCD of 744, 315, 357, 402?

GCD of given numbers 744, 315, 357, 402 is 3

2. How to calculate the greatest common divisor of 744, 315, 357, 402?

We can find the highest common divisor of 744, 315, 357, 402 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 744, 315, 357, 402 i.e 3.

3. How can I use the GCD of 744, 315, 357, 402Calculator?

Out the numbers 744, 315, 357, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.