GCD of 742, 532, 258, 804 Calculator

Given Input numbers are 742, 532, 258, 804

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

Divisors of 742 :

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

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

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (742, 532, 258, 804) = 2.

Given numbers are 742, 532, 258, 804

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 258 are 2 x 3 x 43

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 742, 532, 258, 804 is 2.

Given numbers are 742, 532, 258, 804

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

Apply this formula for all numbers.

Step1:

LCM(742, 532) = 28196

GCD(742, 532) = ( 742 x 532 ) / 28196

= 742 / 532

= 742

Step2:

LCM(14, 258) = 1806

GCD(14, 258) = ( 14 x 258 ) / 1806

= 14 / 258

= 14

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 742, 532, 258, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 968, 771, 412
• GCD of 646, 921, 559, 172
• GCD of 719, 748, 836, 410
• GCD of 638, 694, 921, 760
• GCD of 621, 217, 332, 768

Given numbers are 742, 532, 258, 804
The greatest common divisor of numbers 742, 532, 258, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 532, 258, 804 is 2.

1. What is the GCD of 742, 532, 258, 804?

GCD of given numbers 742, 532, 258, 804 is 2

2. How to calculate the greatest common divisor of 742, 532, 258, 804?

We can find the highest common divisor of 742, 532, 258, 804 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 742, 532, 258, 804 i.e 2.

3. How can I use the GCD of 742, 532, 258, 804Calculator?

Out the numbers 742, 532, 258, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.