GCD of 626, 144, 196, 112 Calculator

Given Input numbers are 626, 144, 196, 112

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

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 (626, 144, 196, 112) = 2.

Given numbers are 626, 144, 196, 112

The list of prime factors of all numbers are

Prime factors of 626 are 2 x 313

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 626, 144, 196, 112 is 2.

Given numbers are 626, 144, 196, 112

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

Apply this formula for all numbers.

Step1:

LCM(626, 144) = 45072

GCD(626, 144) = ( 626 x 144 ) / 45072

= 626 / 144

= 626

Step2:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

Step3:

LCM(2, 112) = 112

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

= 2 / 112

= 2

So, Greatest Common Divisor of 626, 144, 196, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 600, 189, 162
• GCD of 569, 218, 246, 710
• GCD of 482, 765, 762, 438
• GCD of 149, 244, 788, 598
• GCD of 654, 906, 868, 179

Given numbers are 626, 144, 196, 112
The greatest common divisor of numbers 626, 144, 196, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 626, 144, 196, 112 is 2.

1. What is the GCD of 626, 144, 196, 112?

GCD of given numbers 626, 144, 196, 112 is 2

2. How to calculate the greatest common divisor of 626, 144, 196, 112?

We can find the highest common divisor of 626, 144, 196, 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 626, 144, 196, 112 i.e 2.

3. How can I use the GCD of 626, 144, 196, 112Calculator?

Out the numbers 626, 144, 196, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.