GCD of 554, 770, 180, 108 Calculator

Given Input numbers are 554, 770, 180, 108

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (554, 770, 180, 108) = 2.

Given numbers are 554, 770, 180, 108

The list of prime factors of all numbers are

Prime factors of 554 are 2 x 277

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 554, 770, 180, 108 is 2.

Given numbers are 554, 770, 180, 108

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

Apply this formula for all numbers.

Step1:

LCM(554, 770) = 213290

GCD(554, 770) = ( 554 x 770 ) / 213290

= 554 / 770

= 554

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 554, 770, 180, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 114, 435, 241
• GCD of 989, 641, 249, 526
• GCD of 228, 713, 306, 195
• GCD of 830, 570, 702, 407
• GCD of 898, 833, 467, 382

Given numbers are 554, 770, 180, 108
The greatest common divisor of numbers 554, 770, 180, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 554, 770, 180, 108 is 2.

1. What is the GCD of 554, 770, 180, 108?

GCD of given numbers 554, 770, 180, 108 is 2

2. How to calculate the greatest common divisor of 554, 770, 180, 108?

We can find the highest common divisor of 554, 770, 180, 108 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 554, 770, 180, 108 i.e 2.

3. How can I use the GCD of 554, 770, 180, 108Calculator?

Out the numbers 554, 770, 180, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.