GCD of 732, 326, 142, 874 Calculator

Given Input numbers are 732, 326, 142, 874

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 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (732, 326, 142, 874) = 2.

Given numbers are 732, 326, 142, 874

The list of prime factors of all numbers are

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

Prime factors of 326 are 2 x 163

Prime factors of 142 are 2 x 71

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 732, 326, 142, 874 is 2.

Given numbers are 732, 326, 142, 874

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

Apply this formula for all numbers.

Step1:

LCM(732, 326) = 119316

GCD(732, 326) = ( 732 x 326 ) / 119316

= 732 / 326

= 732

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 732, 326, 142, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 481, 286, 638
• GCD of 631, 943, 705, 554
• GCD of 505, 453, 789, 271
• GCD of 138, 873, 270, 659
• GCD of 451, 573, 519, 666

Given numbers are 732, 326, 142, 874
The greatest common divisor of numbers 732, 326, 142, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 326, 142, 874 is 2.

1. What is the GCD of 732, 326, 142, 874?

GCD of given numbers 732, 326, 142, 874 is 2

2. How to calculate the greatest common divisor of 732, 326, 142, 874?

We can find the highest common divisor of 732, 326, 142, 874 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, 326, 142, 874 i.e 2.

3. How can I use the GCD of 732, 326, 142, 874Calculator?

Out the numbers 732, 326, 142, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.