GCD of 508, 360, 402, 342 Calculator

Given Input numbers are 508, 360, 402, 342

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 402 :

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (508, 360, 402, 342) = 2.

Given numbers are 508, 360, 402, 342

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 402 are 2 x 3 x 67

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 508, 360, 402, 342 is 2.

Given numbers are 508, 360, 402, 342

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

Apply this formula for all numbers.

Step1:

LCM(508, 360) = 45720

GCD(508, 360) = ( 508 x 360 ) / 45720

= 508 / 360

= 508

Step2:

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

= 4 / 402

= 4

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 508, 360, 402, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 298, 866, 692
• GCD of 963, 553, 283, 166
• GCD of 917, 225, 353, 634
• GCD of 768, 949, 824, 771
• GCD of 271, 789, 717, 780

Given numbers are 508, 360, 402, 342
The greatest common divisor of numbers 508, 360, 402, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 360, 402, 342 is 2.

1. What is the GCD of 508, 360, 402, 342?

GCD of given numbers 508, 360, 402, 342 is 2

2. How to calculate the greatest common divisor of 508, 360, 402, 342?

We can find the highest common divisor of 508, 360, 402, 342 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 508, 360, 402, 342 i.e 2.

3. How can I use the GCD of 508, 360, 402, 342Calculator?

Out the numbers 508, 360, 402, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.