GCD of 867, 177, 420, 258 Calculator

Given Input numbers are 867, 177, 420, 258

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 177 :

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

1, 3, 59, 177

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (867, 177, 420, 258) = 3.

Given numbers are 867, 177, 420, 258

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 177 are 3 x 59

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 867, 177, 420, 258 is 3.

Given numbers are 867, 177, 420, 258

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

Apply this formula for all numbers.

Step1:

LCM(867, 177) = 51153

GCD(867, 177) = ( 867 x 177 ) / 51153

= 867 / 177

= 867

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

= 3 / 258

= 3

So, Greatest Common Divisor of 867, 177, 420, 258 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 642, 935, 513
• GCD of 367, 361, 236, 565
• GCD of 211, 990, 925, 356
• GCD of 505, 534, 171, 734
• GCD of 116, 834, 555, 925

Given numbers are 867, 177, 420, 258
The greatest common divisor of numbers 867, 177, 420, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 177, 420, 258 is 3.

1. What is the GCD of 867, 177, 420, 258?

GCD of given numbers 867, 177, 420, 258 is 3

2. How to calculate the greatest common divisor of 867, 177, 420, 258?

We can find the highest common divisor of 867, 177, 420, 258 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 867, 177, 420, 258 i.e 3.

3. How can I use the GCD of 867, 177, 420, 258Calculator?

Out the numbers 867, 177, 420, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.