GCD of 704, 802, 40, 924 Calculator

Given Input numbers are 704, 802, 40, 924

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (704, 802, 40, 924) = 2.

Given numbers are 704, 802, 40, 924

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 802 are 2 x 401

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 704, 802, 40, 924 is 2.

Given numbers are 704, 802, 40, 924

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

Apply this formula for all numbers.

Step1:

LCM(704, 802) = 282304

GCD(704, 802) = ( 704 x 802 ) / 282304

= 704 / 802

= 704

Step2:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 704, 802, 40, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 609, 59, 360
• GCD of 162, 532, 29, 222
• GCD of 423, 189, 19, 605
• GCD of 930, 149, 90, 497
• GCD of 809, 141, 75, 997

Given numbers are 704, 802, 40, 924
The greatest common divisor of numbers 704, 802, 40, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 802, 40, 924 is 2.

1. What is the GCD of 704, 802, 40, 924?

GCD of given numbers 704, 802, 40, 924 is 2

2. How to calculate the greatest common divisor of 704, 802, 40, 924?

We can find the highest common divisor of 704, 802, 40, 924 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 704, 802, 40, 924 i.e 2.

3. How can I use the GCD of 704, 802, 40, 924Calculator?

Out the numbers 704, 802, 40, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.