GCD of 206, 148, 24, 742 Calculator

Given Input numbers are 206, 148, 24, 742

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (206, 148, 24, 742) = 2.

Given numbers are 206, 148, 24, 742

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 148 are 2 x 2 x 37

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 206, 148, 24, 742 is 2.

Given numbers are 206, 148, 24, 742

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

Apply this formula for all numbers.

Step1:

LCM(206, 148) = 15244

GCD(206, 148) = ( 206 x 148 ) / 15244

= 206 / 148

= 206

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 206, 148, 24, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 950, 38, 160
• GCD of 267, 482, 73, 830
• GCD of 583, 634, 47, 620
• GCD of 133, 627, 24, 617
• GCD of 821, 548, 28, 775

Given numbers are 206, 148, 24, 742
The greatest common divisor of numbers 206, 148, 24, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 148, 24, 742 is 2.

1. What is the GCD of 206, 148, 24, 742?

GCD of given numbers 206, 148, 24, 742 is 2

2. How to calculate the greatest common divisor of 206, 148, 24, 742?

We can find the highest common divisor of 206, 148, 24, 742 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 206, 148, 24, 742 i.e 2.

3. How can I use the GCD of 206, 148, 24, 742Calculator?

Out the numbers 206, 148, 24, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.