GCD of 402, 714, 442, 572 Calculator

Given Input numbers are 402, 714, 442, 572

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (402, 714, 442, 572) = 2.

Given numbers are 402, 714, 442, 572

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 442 are 2 x 13 x 17

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 402, 714, 442, 572 is 2.

Given numbers are 402, 714, 442, 572

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

Apply this formula for all numbers.

Step1:

LCM(402, 714) = 47838

GCD(402, 714) = ( 402 x 714 ) / 47838

= 402 / 714

= 402

Step2:

LCM(6, 442) = 1326

GCD(6, 442) = ( 6 x 442 ) / 1326

= 6 / 442

= 6

Step3:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

So, Greatest Common Divisor of 402, 714, 442, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 347, 355, 626
• GCD of 107, 831, 992, 378
• GCD of 576, 662, 645, 441
• GCD of 820, 912, 624, 153
• GCD of 140, 974, 746, 327

Given numbers are 402, 714, 442, 572
The greatest common divisor of numbers 402, 714, 442, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 714, 442, 572 is 2.

1. What is the GCD of 402, 714, 442, 572?

GCD of given numbers 402, 714, 442, 572 is 2

2. How to calculate the greatest common divisor of 402, 714, 442, 572?

We can find the highest common divisor of 402, 714, 442, 572 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, 714, 442, 572 i.e 2.

3. How can I use the GCD of 402, 714, 442, 572Calculator?

Out the numbers 402, 714, 442, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.