GCD of 258, 693, 381, 960 Calculator

Given Input numbers are 258, 693, 381, 960

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

Divisors of 258 :

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

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

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (258, 693, 381, 960) = 3.

Given numbers are 258, 693, 381, 960

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

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

Prime factors of 381 are 3 x 127

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 258, 693, 381, 960 is 3.

Given numbers are 258, 693, 381, 960

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

Apply this formula for all numbers.

Step1:

LCM(258, 693) = 59598

GCD(258, 693) = ( 258 x 693 ) / 59598

= 258 / 693

= 258

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 258, 693, 381, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 795, 126, 163
• GCD of 493, 875, 882, 166
• GCD of 560, 647, 579, 567
• GCD of 996, 452, 240, 953
• GCD of 745, 831, 841, 634

Given numbers are 258, 693, 381, 960
The greatest common divisor of numbers 258, 693, 381, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 693, 381, 960 is 3.

1. What is the GCD of 258, 693, 381, 960?

GCD of given numbers 258, 693, 381, 960 is 3

2. How to calculate the greatest common divisor of 258, 693, 381, 960?

We can find the highest common divisor of 258, 693, 381, 960 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 258, 693, 381, 960 i.e 3.

3. How can I use the GCD of 258, 693, 381, 960Calculator?

Out the numbers 258, 693, 381, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.