GCD of 112, 706, 564, 703 Calculator

Given Input numbers are 112, 706, 564, 703

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 706 :

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

1, 2, 353, 706

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

GCD of numbers is the greatest common divisor

So, the GCD (112, 706, 564, 703) = 1.

Given numbers are 112, 706, 564, 703

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 706 are 2 x 353

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 703 are 19 x 37

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

Given numbers are 112, 706, 564, 703

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

Apply this formula for all numbers.

Step1:

LCM(112, 706) = 39536

GCD(112, 706) = ( 112 x 706 ) / 39536

= 112 / 706

= 112

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

= 2 / 703

= 2

So, Greatest Common Divisor of 112, 706, 564, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 428, 189, 758
• GCD of 895, 296, 735, 996
• GCD of 143, 527, 368, 180
• GCD of 383, 310, 737, 266
• GCD of 393, 707, 390, 900

Given numbers are 112, 706, 564, 703
The greatest common divisor of numbers 112, 706, 564, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 706, 564, 703 is 1.

1. What is the GCD of 112, 706, 564, 703?

GCD of given numbers 112, 706, 564, 703 is 1

2. How to calculate the greatest common divisor of 112, 706, 564, 703?

We can find the highest common divisor of 112, 706, 564, 703 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, 706, 564, 703 i.e 1.

3. How can I use the GCD of 112, 706, 564, 703Calculator?

Out the numbers 112, 706, 564, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.