GCD of 642, 315, 628, 314 Calculator

Given Input numbers are 642, 315, 628, 314

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

Divisors of 642 :

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

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (642, 315, 628, 314) = 1.

Given numbers are 642, 315, 628, 314

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 628 are 2 x 2 x 157

Prime factors of 314 are 2 x 157

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

Given numbers are 642, 315, 628, 314

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

Apply this formula for all numbers.

Step1:

LCM(642, 315) = 67410

GCD(642, 315) = ( 642 x 315 ) / 67410

= 642 / 315

= 642

Step2:

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

= 3 / 628

= 3

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 642, 315, 628, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 511, 688, 678
• GCD of 618, 715, 440, 703
• GCD of 179, 387, 166, 367
• GCD of 468, 108, 779, 388
• GCD of 155, 849, 161, 482

Given numbers are 642, 315, 628, 314
The greatest common divisor of numbers 642, 315, 628, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 315, 628, 314 is 1.

1. What is the GCD of 642, 315, 628, 314?

GCD of given numbers 642, 315, 628, 314 is 1

2. How to calculate the greatest common divisor of 642, 315, 628, 314?

We can find the highest common divisor of 642, 315, 628, 314 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 642, 315, 628, 314 i.e 1.

3. How can I use the GCD of 642, 315, 628, 314Calculator?

Out the numbers 642, 315, 628, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.