GCD of 722, 162, 674, 504 Calculator

Given Input numbers are 722, 162, 674, 504

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (722, 162, 674, 504) = 2.

Given numbers are 722, 162, 674, 504

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 674 are 2 x 337

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 722, 162, 674, 504 is 2.

Given numbers are 722, 162, 674, 504

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

Apply this formula for all numbers.

Step1:

LCM(722, 162) = 58482

GCD(722, 162) = ( 722 x 162 ) / 58482

= 722 / 162

= 722

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 722, 162, 674, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 478, 328, 464
• GCD of 411, 179, 159, 509
• GCD of 675, 929, 971, 501
• GCD of 138, 822, 926, 280
• GCD of 965, 461, 564, 469

Given numbers are 722, 162, 674, 504
The greatest common divisor of numbers 722, 162, 674, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 162, 674, 504 is 2.

1. What is the GCD of 722, 162, 674, 504?

GCD of given numbers 722, 162, 674, 504 is 2

2. How to calculate the greatest common divisor of 722, 162, 674, 504?

We can find the highest common divisor of 722, 162, 674, 504 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 722, 162, 674, 504 i.e 2.

3. How can I use the GCD of 722, 162, 674, 504Calculator?

Out the numbers 722, 162, 674, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.