GCD of 742, 138, 392 Calculator

Given Input numbers are 742, 138, 392

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 138 :

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

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (742, 138, 392) = 2.

Given numbers are 742, 138, 392

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 138 are 2 x 3 x 23

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 742, 138, 392 is 2.

Given numbers are 742, 138, 392

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

Apply this formula for all numbers.

Step1:

LCM(742, 138) = 51198

GCD(742, 138) = ( 742 x 138 ) / 51198

= 742 / 138

= 742

Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

So, Greatest Common Divisor of 742, 138, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 847, 949
• GCD of 872, 499, 161
• GCD of 674, 700, 189
• GCD of 132, 480, 441
• GCD of 522, 103, 670

Given numbers are 742, 138, 392
The greatest common divisor of numbers 742, 138, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 138, 392 is 2.

1. What is the GCD of 742, 138, 392?

GCD of given numbers 742, 138, 392 is 2

2. How to calculate the greatest common divisor of 742, 138, 392?

We can find the highest common divisor of 742, 138, 392 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, 138, 392 i.e 2.

3. How can I use the GCD of 742, 138, 392Calculator?

Out the numbers 742, 138, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.