GCD of 708, 612, 748, 838 Calculator

Given Input numbers are 708, 612, 748, 838

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (708, 612, 748, 838) = 2.

Given numbers are 708, 612, 748, 838

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 708, 612, 748, 838 is 2.

Given numbers are 708, 612, 748, 838

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

Apply this formula for all numbers.

Step1:

LCM(708, 612) = 36108

GCD(708, 612) = ( 708 x 612 ) / 36108

= 708 / 612

= 708

Step2:

LCM(12, 748) = 2244

GCD(12, 748) = ( 12 x 748 ) / 2244

= 12 / 748

= 12

Step3:

LCM(4, 838) = 1676

GCD(4, 838) = ( 4 x 838 ) / 1676

= 4 / 838

= 4

So, Greatest Common Divisor of 708, 612, 748, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 175, 303, 759
• GCD of 653, 968, 925, 457
• GCD of 748, 790, 212, 928
• GCD of 555, 979, 584, 261
• GCD of 488, 216, 274, 828

Given numbers are 708, 612, 748, 838
The greatest common divisor of numbers 708, 612, 748, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 612, 748, 838 is 2.

1. What is the GCD of 708, 612, 748, 838?

GCD of given numbers 708, 612, 748, 838 is 2

2. How to calculate the greatest common divisor of 708, 612, 748, 838?

We can find the highest common divisor of 708, 612, 748, 838 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, 612, 748, 838 i.e 2.

3. How can I use the GCD of 708, 612, 748, 838Calculator?

Out the numbers 708, 612, 748, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.