GCD of 706, 118, 688, 558 Calculator

Given Input numbers are 706, 118, 688, 558

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (706, 118, 688, 558) = 2.

Given numbers are 706, 118, 688, 558

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 118 are 2 x 59

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 706, 118, 688, 558 is 2.

Given numbers are 706, 118, 688, 558

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

Apply this formula for all numbers.

Step1:

LCM(706, 118) = 41654

GCD(706, 118) = ( 706 x 118 ) / 41654

= 706 / 118

= 706

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 706, 118, 688, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 464, 207, 497
• GCD of 559, 629, 119, 309
• GCD of 853, 492, 394, 917
• GCD of 292, 447, 250, 556
• GCD of 877, 762, 298, 123

Given numbers are 706, 118, 688, 558
The greatest common divisor of numbers 706, 118, 688, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 118, 688, 558 is 2.

1. What is the GCD of 706, 118, 688, 558?

GCD of given numbers 706, 118, 688, 558 is 2

2. How to calculate the greatest common divisor of 706, 118, 688, 558?

We can find the highest common divisor of 706, 118, 688, 558 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, 118, 688, 558 i.e 2.

3. How can I use the GCD of 706, 118, 688, 558Calculator?

Out the numbers 706, 118, 688, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.