GCD of 708, 837, 753, 315 Calculator

Given Input numbers are 708, 837, 753, 315

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

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 (708, 837, 753, 315) = 3.

Given numbers are 708, 837, 753, 315

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 753 are 3 x 251

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

The highest common occurrence is 3¹

Therefore, GCD of 708, 837, 753, 315 is 3.

Given numbers are 708, 837, 753, 315

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

Apply this formula for all numbers.

Step1:

LCM(708, 837) = 197532

GCD(708, 837) = ( 708 x 837 ) / 197532

= 708 / 837

= 708

Step2:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

Step3:

LCM(3, 315) = 315

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

= 3 / 315

= 3

So, Greatest Common Divisor of 708, 837, 753, 315 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 289, 683, 525
• GCD of 806, 307, 808, 337
• GCD of 269, 330, 983, 218
• GCD of 923, 618, 352, 487
• GCD of 115, 205, 856, 658

Given numbers are 708, 837, 753, 315
The greatest common divisor of numbers 708, 837, 753, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 837, 753, 315 is 3.

1. What is the GCD of 708, 837, 753, 315?

GCD of given numbers 708, 837, 753, 315 is 3

2. How to calculate the greatest common divisor of 708, 837, 753, 315?

We can find the highest common divisor of 708, 837, 753, 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 708, 837, 753, 315 i.e 3.

3. How can I use the GCD of 708, 837, 753, 315Calculator?

Out the numbers 708, 837, 753, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.