GCD of 106, 672, 44, 358 Calculator

Given Input numbers are 106, 672, 44, 358

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (106, 672, 44, 358) = 2.

Given numbers are 106, 672, 44, 358

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 44 are 2 x 2 x 11

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 106, 672, 44, 358 is 2.

Given numbers are 106, 672, 44, 358

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

Apply this formula for all numbers.

Step1:

LCM(106, 672) = 35616

GCD(106, 672) = ( 106 x 672 ) / 35616

= 106 / 672

= 106

Step2:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 106, 672, 44, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 706, 45, 152
• GCD of 429, 533, 56, 417
• GCD of 103, 228, 63, 928
• GCD of 371, 537, 25, 788
• GCD of 385, 403, 80, 721

Given numbers are 106, 672, 44, 358
The greatest common divisor of numbers 106, 672, 44, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 672, 44, 358 is 2.

1. What is the GCD of 106, 672, 44, 358?

GCD of given numbers 106, 672, 44, 358 is 2

2. How to calculate the greatest common divisor of 106, 672, 44, 358?

We can find the highest common divisor of 106, 672, 44, 358 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 106, 672, 44, 358 i.e 2.

3. How can I use the GCD of 106, 672, 44, 358Calculator?

Out the numbers 106, 672, 44, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.