GCD of 112, 149, 696, 706 Calculator

Given Input numbers are 112, 149, 696, 706

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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 706 :

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

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (112, 149, 696, 706) = 1.

Given numbers are 112, 149, 696, 706

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 149 are 149

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

Prime factors of 706 are 2 x 353

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 149, 696, 706

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

Apply this formula for all numbers.

Step1:

LCM(112, 149) = 16688

GCD(112, 149) = ( 112 x 149 ) / 16688

= 112 / 149

= 112

Step2:

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

= 1 / 696

= 1

Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

So, Greatest Common Divisor of 112, 149, 696, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 744, 772, 468
• GCD of 182, 410, 768, 295
• GCD of 867, 749, 383, 708
• GCD of 193, 508, 900, 456
• GCD of 832, 404, 684, 632

Given numbers are 112, 149, 696, 706
The greatest common divisor of numbers 112, 149, 696, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 149, 696, 706 is 1.

1. What is the GCD of 112, 149, 696, 706?

GCD of given numbers 112, 149, 696, 706 is 1

2. How to calculate the greatest common divisor of 112, 149, 696, 706?

We can find the highest common divisor of 112, 149, 696, 706 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 112, 149, 696, 706 i.e 1.

3. How can I use the GCD of 112, 149, 696, 706Calculator?

Out the numbers 112, 149, 696, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.