GCD of 315, 177, 972, 669 Calculator

Given Input numbers are 315, 177, 972, 669

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 177 :

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

1, 3, 59, 177

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (315, 177, 972, 669) = 3.

Given numbers are 315, 177, 972, 669

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 177 are 3 x 59

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 315, 177, 972, 669 is 3.

Given numbers are 315, 177, 972, 669

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

Apply this formula for all numbers.

Step1:

LCM(315, 177) = 18585

GCD(315, 177) = ( 315 x 177 ) / 18585

= 315 / 177

= 315

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

So, Greatest Common Divisor of 315, 177, 972, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 765, 364, 664
• GCD of 666, 233, 432, 371
• GCD of 930, 273, 660, 248
• GCD of 663, 210, 621, 857
• GCD of 921, 701, 452, 949

Given numbers are 315, 177, 972, 669
The greatest common divisor of numbers 315, 177, 972, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 177, 972, 669 is 3.

1. What is the GCD of 315, 177, 972, 669?

GCD of given numbers 315, 177, 972, 669 is 3

2. How to calculate the greatest common divisor of 315, 177, 972, 669?

We can find the highest common divisor of 315, 177, 972, 669 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 315, 177, 972, 669 i.e 3.

3. How can I use the GCD of 315, 177, 972, 669Calculator?

Out the numbers 315, 177, 972, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.