GCD of 744, 704, 654, 822 Calculator

Given Input numbers are 744, 704, 654, 822

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (744, 704, 654, 822) = 2.

Given numbers are 744, 704, 654, 822

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 744, 704, 654, 822 is 2.

Given numbers are 744, 704, 654, 822

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

Apply this formula for all numbers.

Step1:

LCM(744, 704) = 65472

GCD(744, 704) = ( 744 x 704 ) / 65472

= 744 / 704

= 744

Step2:

LCM(8, 654) = 2616

GCD(8, 654) = ( 8 x 654 ) / 2616

= 8 / 654

= 8

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 744, 704, 654, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 471, 394, 724
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Given numbers are 744, 704, 654, 822
The greatest common divisor of numbers 744, 704, 654, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 704, 654, 822 is 2.

1. What is the GCD of 744, 704, 654, 822?

GCD of given numbers 744, 704, 654, 822 is 2

2. How to calculate the greatest common divisor of 744, 704, 654, 822?

We can find the highest common divisor of 744, 704, 654, 822 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 744, 704, 654, 822 i.e 2.

3. How can I use the GCD of 744, 704, 654, 822Calculator?

Out the numbers 744, 704, 654, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.