GCD of 744, 142, 588, 146 Calculator

Given Input numbers are 744, 142, 588, 146

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 142 :

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

1, 2, 71, 142

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (744, 142, 588, 146) = 2.

Given numbers are 744, 142, 588, 146

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 142 are 2 x 71

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 744, 142, 588, 146 is 2.

Given numbers are 744, 142, 588, 146

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

Apply this formula for all numbers.

Step1:

LCM(744, 142) = 52824

GCD(744, 142) = ( 744 x 142 ) / 52824

= 744 / 142

= 744

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 744, 142, 588, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 150, 461, 230
• GCD of 702, 466, 639, 887
• GCD of 972, 842, 472, 158
• GCD of 207, 756, 173, 931
• GCD of 152, 177, 937, 965

Given numbers are 744, 142, 588, 146
The greatest common divisor of numbers 744, 142, 588, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 142, 588, 146 is 2.

1. What is the GCD of 744, 142, 588, 146?

GCD of given numbers 744, 142, 588, 146 is 2

2. How to calculate the greatest common divisor of 744, 142, 588, 146?

We can find the highest common divisor of 744, 142, 588, 146 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, 142, 588, 146 i.e 2.

3. How can I use the GCD of 744, 142, 588, 146Calculator?

Out the numbers 744, 142, 588, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.