GCD of 752, 408, 508, 146 Calculator

Given Input numbers are 752, 408, 508, 146

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

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 (752, 408, 508, 146) = 2.

Given numbers are 752, 408, 508, 146

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 752, 408, 508, 146 is 2.

Given numbers are 752, 408, 508, 146

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

Apply this formula for all numbers.

Step1:

LCM(752, 408) = 38352

GCD(752, 408) = ( 752 x 408 ) / 38352

= 752 / 408

= 752

Step2:

LCM(8, 508) = 1016

GCD(8, 508) = ( 8 x 508 ) / 1016

= 8 / 508

= 8

Step3:

LCM(4, 146) = 292

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

= 4 / 146

= 4

So, Greatest Common Divisor of 752, 408, 508, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 236, 235, 188
• GCD of 111, 196, 840, 799
• GCD of 505, 546, 163, 671
• GCD of 221, 656, 718, 391
• GCD of 933, 795, 590, 313

Given numbers are 752, 408, 508, 146
The greatest common divisor of numbers 752, 408, 508, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 408, 508, 146 is 2.

1. What is the GCD of 752, 408, 508, 146?

GCD of given numbers 752, 408, 508, 146 is 2

2. How to calculate the greatest common divisor of 752, 408, 508, 146?

We can find the highest common divisor of 752, 408, 508, 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 752, 408, 508, 146 i.e 2.

3. How can I use the GCD of 752, 408, 508, 146Calculator?

Out the numbers 752, 408, 508, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.