GCD of 460, 120, 169, 258 Calculator

Given Input numbers are 460, 120, 169, 258

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

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 (460, 120, 169, 258) = 1.

Given numbers are 460, 120, 169, 258

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 169 are 13 x 13

Prime factors of 258 are 2 x 3 x 43

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

Given numbers are 460, 120, 169, 258

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

Apply this formula for all numbers.

Step1:

LCM(460, 120) = 2760

GCD(460, 120) = ( 460 x 120 ) / 2760

= 460 / 120

= 460

Step2:

LCM(20, 169) = 3380

GCD(20, 169) = ( 20 x 169 ) / 3380

= 20 / 169

= 20

Step3:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1

So, Greatest Common Divisor of 460, 120, 169, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 819, 642, 891
• GCD of 513, 207, 634, 248
• GCD of 942, 338, 733, 368
• GCD of 569, 203, 564, 331
• GCD of 361, 331, 571, 214

Given numbers are 460, 120, 169, 258
The greatest common divisor of numbers 460, 120, 169, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 120, 169, 258 is 1.

1. What is the GCD of 460, 120, 169, 258?

GCD of given numbers 460, 120, 169, 258 is 1

2. How to calculate the greatest common divisor of 460, 120, 169, 258?

We can find the highest common divisor of 460, 120, 169, 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 460, 120, 169, 258 i.e 1.

3. How can I use the GCD of 460, 120, 169, 258Calculator?

Out the numbers 460, 120, 169, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.