GCD of 628, 782, 702, 112 Calculator

Given Input numbers are 628, 782, 702, 112

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 (628, 782, 702, 112) = 2.

Given numbers are 628, 782, 702, 112

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 782 are 2 x 17 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 628, 782, 702, 112 is 2.

Given numbers are 628, 782, 702, 112

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

Apply this formula for all numbers.

Step1:

LCM(628, 782) = 245548

GCD(628, 782) = ( 628 x 782 ) / 245548

= 628 / 782

= 628

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 628, 782, 702, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 859, 607, 258
• GCD of 638, 512, 161, 319
• GCD of 769, 465, 169, 187
• GCD of 479, 870, 381, 801
• GCD of 872, 900, 511, 730

Given numbers are 628, 782, 702, 112
The greatest common divisor of numbers 628, 782, 702, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 782, 702, 112 is 2.

1. What is the GCD of 628, 782, 702, 112?

GCD of given numbers 628, 782, 702, 112 is 2

2. How to calculate the greatest common divisor of 628, 782, 702, 112?

We can find the highest common divisor of 628, 782, 702, 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 628, 782, 702, 112 i.e 2.

3. How can I use the GCD of 628, 782, 702, 112Calculator?

Out the numbers 628, 782, 702, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.