GCD of 742, 596, 138, 360 Calculator

Given Input numbers are 742, 596, 138, 360

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (742, 596, 138, 360) = 2.

Given numbers are 742, 596, 138, 360

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 596 are 2 x 2 x 149

Prime factors of 138 are 2 x 3 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 742, 596, 138, 360 is 2.

Given numbers are 742, 596, 138, 360

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

Apply this formula for all numbers.

Step1:

LCM(742, 596) = 221116

GCD(742, 596) = ( 742 x 596 ) / 221116

= 742 / 596

= 742

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 742, 596, 138, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 814, 169, 948
• GCD of 364, 631, 793, 321
• GCD of 917, 995, 590, 267
• GCD of 482, 278, 759, 294
• GCD of 334, 999, 612, 202

Given numbers are 742, 596, 138, 360
The greatest common divisor of numbers 742, 596, 138, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 596, 138, 360 is 2.

1. What is the GCD of 742, 596, 138, 360?

GCD of given numbers 742, 596, 138, 360 is 2

2. How to calculate the greatest common divisor of 742, 596, 138, 360?

We can find the highest common divisor of 742, 596, 138, 360 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 742, 596, 138, 360 i.e 2.

3. How can I use the GCD of 742, 596, 138, 360Calculator?

Out the numbers 742, 596, 138, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.