GCD of 165, 177, 693, 870 Calculator

Given Input numbers are 165, 177, 693, 870

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 177 :

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

1, 3, 59, 177

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (165, 177, 693, 870) = 3.

Given numbers are 165, 177, 693, 870

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 177 are 3 x 59

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 3¹

Therefore, GCD of 165, 177, 693, 870 is 3.

Given numbers are 165, 177, 693, 870

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

Apply this formula for all numbers.

Step1:

LCM(165, 177) = 9735

GCD(165, 177) = ( 165 x 177 ) / 9735

= 165 / 177

= 165

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 165, 177, 693, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 708, 427, 681
• GCD of 621, 593, 482, 267
• GCD of 595, 893, 552, 643
• GCD of 790, 938, 898, 185
• GCD of 802, 789, 819, 529

Given numbers are 165, 177, 693, 870
The greatest common divisor of numbers 165, 177, 693, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 177, 693, 870 is 3.

1. What is the GCD of 165, 177, 693, 870?

GCD of given numbers 165, 177, 693, 870 is 3

2. How to calculate the greatest common divisor of 165, 177, 693, 870?

We can find the highest common divisor of 165, 177, 693, 870 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 165, 177, 693, 870 i.e 3.

3. How can I use the GCD of 165, 177, 693, 870Calculator?

Out the numbers 165, 177, 693, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.