GCD of 258, 354, 972, 385 Calculator

Given Input numbers are 258, 354, 972, 385

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

GCD of numbers is the greatest common divisor

So, the GCD (258, 354, 972, 385) = 1.

Given numbers are 258, 354, 972, 385

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 385 are 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 258, 354, 972, 385

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

Apply this formula for all numbers.

Step1:

LCM(258, 354) = 15222

GCD(258, 354) = ( 258 x 354 ) / 15222

= 258 / 354

= 258

Step2:

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

= 6 / 972

= 6

Step3:

LCM(6, 385) = 2310

GCD(6, 385) = ( 6 x 385 ) / 2310

= 6 / 385

= 6

So, Greatest Common Divisor of 258, 354, 972, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 901, 315, 776
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Given numbers are 258, 354, 972, 385
The greatest common divisor of numbers 258, 354, 972, 385 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 354, 972, 385 is 1.

1. What is the GCD of 258, 354, 972, 385?

GCD of given numbers 258, 354, 972, 385 is 1

2. How to calculate the greatest common divisor of 258, 354, 972, 385?

We can find the highest common divisor of 258, 354, 972, 385 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, 354, 972, 385 i.e 1.

3. How can I use the GCD of 258, 354, 972, 385Calculator?

Out the numbers 258, 354, 972, 385 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.