GCD of 402, 544, 438, 374 Calculator

Given Input numbers are 402, 544, 438, 374

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (402, 544, 438, 374) = 2.

Given numbers are 402, 544, 438, 374

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 402, 544, 438, 374 is 2.

Given numbers are 402, 544, 438, 374

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

Apply this formula for all numbers.

Step1:

LCM(402, 544) = 109344

GCD(402, 544) = ( 402 x 544 ) / 109344

= 402 / 544

= 402

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

So, Greatest Common Divisor of 402, 544, 438, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 255, 202, 184
• GCD of 978, 766, 714, 182
• GCD of 439, 346, 828, 449
• GCD of 937, 308, 587, 818
• GCD of 745, 526, 830, 247

Given numbers are 402, 544, 438, 374
The greatest common divisor of numbers 402, 544, 438, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 544, 438, 374 is 2.

1. What is the GCD of 402, 544, 438, 374?

GCD of given numbers 402, 544, 438, 374 is 2

2. How to calculate the greatest common divisor of 402, 544, 438, 374?

We can find the highest common divisor of 402, 544, 438, 374 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, 544, 438, 374 i.e 2.

3. How can I use the GCD of 402, 544, 438, 374Calculator?

Out the numbers 402, 544, 438, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.