GCD of 315, 142, 524, 398 Calculator

Given Input numbers are 315, 142, 524, 398

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

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (315, 142, 524, 398) = 1.

Given numbers are 315, 142, 524, 398

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 524 are 2 x 2 x 131

Prime factors of 398 are 2 x 199

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

Given numbers are 315, 142, 524, 398

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

Apply this formula for all numbers.

Step1:

LCM(315, 142) = 44730

GCD(315, 142) = ( 315 x 142 ) / 44730

= 315 / 142

= 315

Step2:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 315, 142, 524, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 706, 873, 282
• GCD of 659, 798, 848, 902
• GCD of 458, 764, 844, 972
• GCD of 281, 394, 110, 424
• GCD of 113, 469, 399, 347

Given numbers are 315, 142, 524, 398
The greatest common divisor of numbers 315, 142, 524, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 142, 524, 398 is 1.

1. What is the GCD of 315, 142, 524, 398?

GCD of given numbers 315, 142, 524, 398 is 1

2. How to calculate the greatest common divisor of 315, 142, 524, 398?

We can find the highest common divisor of 315, 142, 524, 398 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 315, 142, 524, 398 i.e 1.

3. How can I use the GCD of 315, 142, 524, 398Calculator?

Out the numbers 315, 142, 524, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.