GCD of 856, 616, 743, 112 Calculator

Given Input numbers are 856, 616, 743, 112

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (856, 616, 743, 112) = 1.

Given numbers are 856, 616, 743, 112

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 743 are 743

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

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

Given numbers are 856, 616, 743, 112

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

Apply this formula for all numbers.

Step1:

LCM(856, 616) = 65912

GCD(856, 616) = ( 856 x 616 ) / 65912

= 856 / 616

= 856

Step2:

LCM(8, 743) = 5944

GCD(8, 743) = ( 8 x 743 ) / 5944

= 8 / 743

= 8

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 856, 616, 743, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 471, 784, 417
• GCD of 391, 960, 156, 340
• GCD of 879, 921, 484, 707
• GCD of 301, 804, 822, 960
• GCD of 675, 788, 652, 780

Given numbers are 856, 616, 743, 112
The greatest common divisor of numbers 856, 616, 743, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 616, 743, 112 is 1.

1. What is the GCD of 856, 616, 743, 112?

GCD of given numbers 856, 616, 743, 112 is 1

2. How to calculate the greatest common divisor of 856, 616, 743, 112?

We can find the highest common divisor of 856, 616, 743, 112 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 856, 616, 743, 112 i.e 1.

3. How can I use the GCD of 856, 616, 743, 112Calculator?

Out the numbers 856, 616, 743, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.