GCD of 621, 738, 105, 177 Calculator

Given Input numbers are 621, 738, 105, 177

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

GCD of numbers is the greatest common divisor

So, the GCD (621, 738, 105, 177) = 3.

Given numbers are 621, 738, 105, 177

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 105 are 3 x 5 x 7

Prime factors of 177 are 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 621, 738, 105, 177 is 3.

Given numbers are 621, 738, 105, 177

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

Apply this formula for all numbers.

Step1:

LCM(621, 738) = 50922

GCD(621, 738) = ( 621 x 738 ) / 50922

= 621 / 738

= 621

Step2:

LCM(9, 105) = 315

GCD(9, 105) = ( 9 x 105 ) / 315

= 9 / 105

= 9

Step3:

LCM(3, 177) = 177

GCD(3, 177) = ( 3 x 177 ) / 177

= 3 / 177

= 3

So, Greatest Common Divisor of 621, 738, 105, 177 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 688, 405, 988
• GCD of 122, 553, 358, 970
• GCD of 878, 808, 208, 331
• GCD of 160, 583, 463, 859
• GCD of 971, 481, 998, 810

Given numbers are 621, 738, 105, 177
The greatest common divisor of numbers 621, 738, 105, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 738, 105, 177 is 3.

1. What is the GCD of 621, 738, 105, 177?

GCD of given numbers 621, 738, 105, 177 is 3

2. How to calculate the greatest common divisor of 621, 738, 105, 177?

We can find the highest common divisor of 621, 738, 105, 177 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 621, 738, 105, 177 i.e 3.

3. How can I use the GCD of 621, 738, 105, 177Calculator?

Out the numbers 621, 738, 105, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.