GCD of 508, 742, 736, 382 Calculator

Given Input numbers are 508, 742, 736, 382

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (508, 742, 736, 382) = 2.

Given numbers are 508, 742, 736, 382

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 742 are 2 x 7 x 53

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 508, 742, 736, 382 is 2.

Given numbers are 508, 742, 736, 382

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

Apply this formula for all numbers.

Step1:

LCM(508, 742) = 188468

GCD(508, 742) = ( 508 x 742 ) / 188468

= 508 / 742

= 508

Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 508, 742, 736, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 608, 457, 970
• GCD of 254, 988, 500, 948
• GCD of 499, 471, 420, 907
• GCD of 546, 546, 300, 259
• GCD of 564, 463, 381, 818

Given numbers are 508, 742, 736, 382
The greatest common divisor of numbers 508, 742, 736, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 742, 736, 382 is 2.

1. What is the GCD of 508, 742, 736, 382?

GCD of given numbers 508, 742, 736, 382 is 2

2. How to calculate the greatest common divisor of 508, 742, 736, 382?

We can find the highest common divisor of 508, 742, 736, 382 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, 742, 736, 382 i.e 2.

3. How can I use the GCD of 508, 742, 736, 382Calculator?

Out the numbers 508, 742, 736, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.