GCD of 657, 696, 342, 315 Calculator

Given Input numbers are 657, 696, 342, 315

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 (657, 696, 342, 315) = 3.

Given numbers are 657, 696, 342, 315

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 657, 696, 342, 315 is 3.

Given numbers are 657, 696, 342, 315

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

Apply this formula for all numbers.

Step1:

LCM(657, 696) = 152424

GCD(657, 696) = ( 657 x 696 ) / 152424

= 657 / 696

= 657

Step2:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

Step3:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

So, Greatest Common Divisor of 657, 696, 342, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 796, 803, 968
• GCD of 305, 612, 904, 520
• GCD of 356, 220, 569, 659
• GCD of 833, 888, 667, 448
• GCD of 187, 659, 568, 659

Given numbers are 657, 696, 342, 315
The greatest common divisor of numbers 657, 696, 342, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 696, 342, 315 is 3.

1. What is the GCD of 657, 696, 342, 315?

GCD of given numbers 657, 696, 342, 315 is 3

2. How to calculate the greatest common divisor of 657, 696, 342, 315?

We can find the highest common divisor of 657, 696, 342, 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 657, 696, 342, 315 i.e 3.

3. How can I use the GCD of 657, 696, 342, 315Calculator?

Out the numbers 657, 696, 342, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.