GCD of 398, 252, 742, 315 Calculator

Given Input numbers are 398, 252, 742, 315

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 742 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (398, 252, 742, 315) = 1.

Given numbers are 398, 252, 742, 315

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 742 are 2 x 7 x 53

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

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

Given numbers are 398, 252, 742, 315

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

Apply this formula for all numbers.

Step1:

LCM(398, 252) = 50148

GCD(398, 252) = ( 398 x 252 ) / 50148

= 398 / 252

= 398

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 398, 252, 742, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 322, 834, 435
• GCD of 758, 366, 636, 794
• GCD of 380, 181, 706, 382
• GCD of 442, 730, 532, 179
• GCD of 275, 258, 397, 941

Given numbers are 398, 252, 742, 315
The greatest common divisor of numbers 398, 252, 742, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 252, 742, 315 is 1.

1. What is the GCD of 398, 252, 742, 315?

GCD of given numbers 398, 252, 742, 315 is 1

2. How to calculate the greatest common divisor of 398, 252, 742, 315?

We can find the highest common divisor of 398, 252, 742, 315 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 398, 252, 742, 315 i.e 1.

3. How can I use the GCD of 398, 252, 742, 315Calculator?

Out the numbers 398, 252, 742, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.