GCD of 336, 174, 642, 253 Calculator

Given Input numbers are 336, 174, 642, 253

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (336, 174, 642, 253) = 1.

Given numbers are 336, 174, 642, 253

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 642 are 2 x 3 x 107

Prime factors of 253 are 11 x 23

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

Given numbers are 336, 174, 642, 253

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

Apply this formula for all numbers.

Step1:

LCM(336, 174) = 9744

GCD(336, 174) = ( 336 x 174 ) / 9744

= 336 / 174

= 336

Step2:

LCM(6, 642) = 642

GCD(6, 642) = ( 6 x 642 ) / 642

= 6 / 642

= 6

Step3:

LCM(6, 253) = 1518

GCD(6, 253) = ( 6 x 253 ) / 1518

= 6 / 253

= 6

So, Greatest Common Divisor of 336, 174, 642, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 450, 756, 962
• GCD of 441, 500, 946, 277
• GCD of 568, 970, 671, 131
• GCD of 998, 855, 320, 558
• GCD of 102, 925, 866, 328

Given numbers are 336, 174, 642, 253
The greatest common divisor of numbers 336, 174, 642, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 174, 642, 253 is 1.

1. What is the GCD of 336, 174, 642, 253?

GCD of given numbers 336, 174, 642, 253 is 1

2. How to calculate the greatest common divisor of 336, 174, 642, 253?

We can find the highest common divisor of 336, 174, 642, 253 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 336, 174, 642, 253 i.e 1.

3. How can I use the GCD of 336, 174, 642, 253Calculator?

Out the numbers 336, 174, 642, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.