GCD of 130, 170, 674, 928 Calculator

Given Input numbers are 130, 170, 674, 928

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (130, 170, 674, 928) = 2.

Given numbers are 130, 170, 674, 928

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 170 are 2 x 5 x 17

Prime factors of 674 are 2 x 337

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 130, 170, 674, 928 is 2.

Given numbers are 130, 170, 674, 928

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

Apply this formula for all numbers.

Step1:

LCM(130, 170) = 2210

GCD(130, 170) = ( 130 x 170 ) / 2210

= 130 / 170

= 130

Step2:

LCM(10, 674) = 3370

GCD(10, 674) = ( 10 x 674 ) / 3370

= 10 / 674

= 10

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 130, 170, 674, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 429, 974, 207
• GCD of 155, 231, 664, 748
• GCD of 835, 285, 508, 231
• GCD of 790, 402, 496, 124
• GCD of 270, 605, 394, 652

Given numbers are 130, 170, 674, 928
The greatest common divisor of numbers 130, 170, 674, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 170, 674, 928 is 2.

1. What is the GCD of 130, 170, 674, 928?

GCD of given numbers 130, 170, 674, 928 is 2

2. How to calculate the greatest common divisor of 130, 170, 674, 928?

We can find the highest common divisor of 130, 170, 674, 928 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 130, 170, 674, 928 i.e 2.

3. How can I use the GCD of 130, 170, 674, 928Calculator?

Out the numbers 130, 170, 674, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.