GCD of 724, 362, 756, 694 Calculator

Given Input numbers are 724, 362, 756, 694

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (724, 362, 756, 694) = 2.

Given numbers are 724, 362, 756, 694

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 362 are 2 x 181

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 724, 362, 756, 694 is 2.

Given numbers are 724, 362, 756, 694

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

Apply this formula for all numbers.

Step1:

LCM(724, 362) = 724

GCD(724, 362) = ( 724 x 362 ) / 724

= 724 / 362

= 724

Step2:

LCM(362, 756) = 136836

GCD(362, 756) = ( 362 x 756 ) / 136836

= 362 / 756

= 362

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 724, 362, 756, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 782, 274, 495
• GCD of 731, 587, 341, 862
• GCD of 782, 404, 713, 551
• GCD of 907, 265, 168, 148
• GCD of 824, 977, 842, 924

Given numbers are 724, 362, 756, 694
The greatest common divisor of numbers 724, 362, 756, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 362, 756, 694 is 2.

1. What is the GCD of 724, 362, 756, 694?

GCD of given numbers 724, 362, 756, 694 is 2

2. How to calculate the greatest common divisor of 724, 362, 756, 694?

We can find the highest common divisor of 724, 362, 756, 694 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 724, 362, 756, 694 i.e 2.

3. How can I use the GCD of 724, 362, 756, 694Calculator?

Out the numbers 724, 362, 756, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.