GCD of 802, 692, 306, 724 Calculator

Given Input numbers are 802, 692, 306, 724

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (802, 692, 306, 724) = 2.

Given numbers are 802, 692, 306, 724

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 692 are 2 x 2 x 173

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 802, 692, 306, 724 is 2.

Given numbers are 802, 692, 306, 724

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

Apply this formula for all numbers.

Step1:

LCM(802, 692) = 277492

GCD(802, 692) = ( 802 x 692 ) / 277492

= 802 / 692

= 802

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 802, 692, 306, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 842, 217, 973
• GCD of 163, 180, 859, 884
• GCD of 500, 798, 233, 122
• GCD of 295, 781, 330, 763
• GCD of 551, 554, 698, 906

Given numbers are 802, 692, 306, 724
The greatest common divisor of numbers 802, 692, 306, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 692, 306, 724 is 2.

1. What is the GCD of 802, 692, 306, 724?

GCD of given numbers 802, 692, 306, 724 is 2

2. How to calculate the greatest common divisor of 802, 692, 306, 724?

We can find the highest common divisor of 802, 692, 306, 724 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 802, 692, 306, 724 i.e 2.

3. How can I use the GCD of 802, 692, 306, 724Calculator?

Out the numbers 802, 692, 306, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.