GCD of 746, 202, 240, 342 Calculator

Given Input numbers are 746, 202, 240, 342

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (746, 202, 240, 342) = 2.

Given numbers are 746, 202, 240, 342

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 202 are 2 x 101

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 746, 202, 240, 342 is 2.

Given numbers are 746, 202, 240, 342

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

Apply this formula for all numbers.

Step1:

LCM(746, 202) = 75346

GCD(746, 202) = ( 746 x 202 ) / 75346

= 746 / 202

= 746

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

So, Greatest Common Divisor of 746, 202, 240, 342 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 868, 508, 732
• GCD of 257, 593, 822, 776
• GCD of 550, 519, 476, 917
• GCD of 148, 667, 907, 384
• GCD of 685, 111, 574, 315

Given numbers are 746, 202, 240, 342
The greatest common divisor of numbers 746, 202, 240, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 202, 240, 342 is 2.

1. What is the GCD of 746, 202, 240, 342?

GCD of given numbers 746, 202, 240, 342 is 2

2. How to calculate the greatest common divisor of 746, 202, 240, 342?

We can find the highest common divisor of 746, 202, 240, 342 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 746, 202, 240, 342 i.e 2.

3. How can I use the GCD of 746, 202, 240, 342Calculator?

Out the numbers 746, 202, 240, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.