GCD of 508, 800, 780, 146 Calculator

Given Input numbers are 508, 800, 780, 146

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (508, 800, 780, 146) = 2.

Given numbers are 508, 800, 780, 146

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 508, 800, 780, 146 is 2.

Given numbers are 508, 800, 780, 146

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

Apply this formula for all numbers.

Step1:

LCM(508, 800) = 101600

GCD(508, 800) = ( 508 x 800 ) / 101600

= 508 / 800

= 508

Step2:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

Step3:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

So, Greatest Common Divisor of 508, 800, 780, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 292, 754, 229
• GCD of 707, 906, 375, 378
• GCD of 130, 914, 601, 220
• GCD of 252, 349, 547, 185
• GCD of 684, 885, 222, 410

Given numbers are 508, 800, 780, 146
The greatest common divisor of numbers 508, 800, 780, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 800, 780, 146 is 2.

1. What is the GCD of 508, 800, 780, 146?

GCD of given numbers 508, 800, 780, 146 is 2

2. How to calculate the greatest common divisor of 508, 800, 780, 146?

We can find the highest common divisor of 508, 800, 780, 146 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, 800, 780, 146 i.e 2.

3. How can I use the GCD of 508, 800, 780, 146Calculator?

Out the numbers 508, 800, 780, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.