GCD of 732, 404, 120, 674 Calculator

Given Input numbers are 732, 404, 120, 674

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 674 :

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

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (732, 404, 120, 674) = 2.

Given numbers are 732, 404, 120, 674

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 404 are 2 x 2 x 101

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 732, 404, 120, 674 is 2.

Given numbers are 732, 404, 120, 674

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

Apply this formula for all numbers.

Step1:

LCM(732, 404) = 73932

GCD(732, 404) = ( 732 x 404 ) / 73932

= 732 / 404

= 732

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

So, Greatest Common Divisor of 732, 404, 120, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 262, 508, 380
• GCD of 233, 289, 591, 489
• GCD of 411, 913, 762, 184
• GCD of 382, 405, 112, 942
• GCD of 869, 834, 921, 724

Given numbers are 732, 404, 120, 674
The greatest common divisor of numbers 732, 404, 120, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 404, 120, 674 is 2.

1. What is the GCD of 732, 404, 120, 674?

GCD of given numbers 732, 404, 120, 674 is 2

2. How to calculate the greatest common divisor of 732, 404, 120, 674?

We can find the highest common divisor of 732, 404, 120, 674 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 732, 404, 120, 674 i.e 2.

3. How can I use the GCD of 732, 404, 120, 674Calculator?

Out the numbers 732, 404, 120, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.