GCD of 628, 308, 315, 142 Calculator

Given Input numbers are 628, 308, 315, 142

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

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (628, 308, 315, 142) = 1.

Given numbers are 628, 308, 315, 142

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 142 are 2 x 71

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

Given numbers are 628, 308, 315, 142

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

Apply this formula for all numbers.

Step1:

LCM(628, 308) = 48356

GCD(628, 308) = ( 628 x 308 ) / 48356

= 628 / 308

= 628

Step2:

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

= 4 / 315

= 4

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 628, 308, 315, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 780, 417, 119
• GCD of 979, 621, 548, 776
• GCD of 922, 889, 850, 657
• GCD of 905, 537, 749, 442
• GCD of 328, 377, 551, 684

Given numbers are 628, 308, 315, 142
The greatest common divisor of numbers 628, 308, 315, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 308, 315, 142 is 1.

1. What is the GCD of 628, 308, 315, 142?

GCD of given numbers 628, 308, 315, 142 is 1

2. How to calculate the greatest common divisor of 628, 308, 315, 142?

We can find the highest common divisor of 628, 308, 315, 142 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 628, 308, 315, 142 i.e 1.

3. How can I use the GCD of 628, 308, 315, 142Calculator?

Out the numbers 628, 308, 315, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.