GCD of 110, 100, 164, 356 Calculator

Given Input numbers are 110, 100, 164, 356

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (110, 100, 164, 356) = 2.

Given numbers are 110, 100, 164, 356

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 164 are 2 x 2 x 41

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 110, 100, 164, 356 is 2.

Given numbers are 110, 100, 164, 356

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

Apply this formula for all numbers.

Step1:

LCM(110, 100) = 1100

GCD(110, 100) = ( 110 x 100 ) / 1100

= 110 / 100

= 110

Step2:

LCM(10, 164) = 820

GCD(10, 164) = ( 10 x 164 ) / 820

= 10 / 164

= 10

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 110, 100, 164, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 950, 452, 218
• GCD of 436, 371, 635, 293
• GCD of 722, 779, 566, 612
• GCD of 641, 148, 192, 338
• GCD of 281, 578, 754, 571

Given numbers are 110, 100, 164, 356
The greatest common divisor of numbers 110, 100, 164, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 100, 164, 356 is 2.

1. What is the GCD of 110, 100, 164, 356?

GCD of given numbers 110, 100, 164, 356 is 2

2. How to calculate the greatest common divisor of 110, 100, 164, 356?

We can find the highest common divisor of 110, 100, 164, 356 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 110, 100, 164, 356 i.e 2.

3. How can I use the GCD of 110, 100, 164, 356Calculator?

Out the numbers 110, 100, 164, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.