GCD of 643, 270, 742, 342 Calculator

Given Input numbers are 643, 270, 742, 342

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

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 742 :

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

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

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 (643, 270, 742, 342) = 1.

Given numbers are 643, 270, 742, 342

The list of prime factors of all numbers are

Prime factors of 643 are 643

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 742 are 2 x 7 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 643, 270, 742, 342

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

Apply this formula for all numbers.

Step1:

LCM(643, 270) = 173610

GCD(643, 270) = ( 643 x 270 ) / 173610

= 643 / 270

= 643

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 643, 270, 742, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 344, 331, 757
• GCD of 491, 784, 265, 236
• GCD of 710, 719, 598, 282
• GCD of 800, 802, 861, 467
• GCD of 361, 393, 909, 368

Given numbers are 643, 270, 742, 342
The greatest common divisor of numbers 643, 270, 742, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 643, 270, 742, 342 is 1.

1. What is the GCD of 643, 270, 742, 342?

GCD of given numbers 643, 270, 742, 342 is 1

2. How to calculate the greatest common divisor of 643, 270, 742, 342?

We can find the highest common divisor of 643, 270, 742, 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 643, 270, 742, 342 i.e 1.

3. How can I use the GCD of 643, 270, 742, 342Calculator?

Out the numbers 643, 270, 742, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.