GCD of 706, 108, 448, 712 Calculator

Given Input numbers are 706, 108, 448, 712

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (706, 108, 448, 712) = 2.

Given numbers are 706, 108, 448, 712

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 706, 108, 448, 712 is 2.

Given numbers are 706, 108, 448, 712

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

Apply this formula for all numbers.

Step1:

LCM(706, 108) = 38124

GCD(706, 108) = ( 706 x 108 ) / 38124

= 706 / 108

= 706

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

So, Greatest Common Divisor of 706, 108, 448, 712 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 395, 276, 102
• GCD of 906, 256, 477, 635
• GCD of 615, 684, 596, 848
• GCD of 532, 685, 178, 113
• GCD of 795, 184, 321, 792

Given numbers are 706, 108, 448, 712
The greatest common divisor of numbers 706, 108, 448, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 108, 448, 712 is 2.

1. What is the GCD of 706, 108, 448, 712?

GCD of given numbers 706, 108, 448, 712 is 2

2. How to calculate the greatest common divisor of 706, 108, 448, 712?

We can find the highest common divisor of 706, 108, 448, 712 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 706, 108, 448, 712 i.e 2.

3. How can I use the GCD of 706, 108, 448, 712Calculator?

Out the numbers 706, 108, 448, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.