GCD of 842, 738, 514, 524 Calculator

Given Input numbers are 842, 738, 514, 524

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (842, 738, 514, 524) = 2.

Given numbers are 842, 738, 514, 524

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 514 are 2 x 257

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 842, 738, 514, 524 is 2.

Given numbers are 842, 738, 514, 524

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

Apply this formula for all numbers.

Step1:

LCM(842, 738) = 310698

GCD(842, 738) = ( 842 x 738 ) / 310698

= 842 / 738

= 842

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 842, 738, 514, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 783, 548, 806
• GCD of 130, 371, 973, 752
• GCD of 486, 576, 316, 805
• GCD of 909, 705, 173, 783
• GCD of 490, 586, 353, 920

Given numbers are 842, 738, 514, 524
The greatest common divisor of numbers 842, 738, 514, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 738, 514, 524 is 2.

1. What is the GCD of 842, 738, 514, 524?

GCD of given numbers 842, 738, 514, 524 is 2

2. How to calculate the greatest common divisor of 842, 738, 514, 524?

We can find the highest common divisor of 842, 738, 514, 524 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 842, 738, 514, 524 i.e 2.

3. How can I use the GCD of 842, 738, 514, 524Calculator?

Out the numbers 842, 738, 514, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.