GCD of 752, 770, 808, 408 Calculator

Given Input numbers are 752, 770, 808, 408

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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

GCD of numbers is the greatest common divisor

So, the GCD (752, 770, 808, 408) = 2.

Given numbers are 752, 770, 808, 408

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 770 are 2 x 5 x 7 x 11

Prime factors of 808 are 2 x 2 x 2 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 752, 770, 808, 408 is 2.

Given numbers are 752, 770, 808, 408

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

Apply this formula for all numbers.

Step1:

LCM(752, 770) = 289520

GCD(752, 770) = ( 752 x 770 ) / 289520

= 752 / 770

= 752

Step2:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

Step3:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

So, Greatest Common Divisor of 752, 770, 808, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 418, 337, 980
• GCD of 723, 506, 725, 700
• GCD of 244, 506, 378, 494
• GCD of 399, 696, 566, 566
• GCD of 388, 618, 238, 818

Given numbers are 752, 770, 808, 408
The greatest common divisor of numbers 752, 770, 808, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 770, 808, 408 is 2.

1. What is the GCD of 752, 770, 808, 408?

GCD of given numbers 752, 770, 808, 408 is 2

2. How to calculate the greatest common divisor of 752, 770, 808, 408?

We can find the highest common divisor of 752, 770, 808, 408 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, 770, 808, 408 i.e 2.

3. How can I use the GCD of 752, 770, 808, 408Calculator?

Out the numbers 752, 770, 808, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.