GCD of 260, 789, 345, 674 Calculator

Given Input numbers are 260, 789, 345, 674

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 674 :

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

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (260, 789, 345, 674) = 1.

Given numbers are 260, 789, 345, 674

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 789 are 3 x 263

Prime factors of 345 are 3 x 5 x 23

Prime factors of 674 are 2 x 337

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

Given numbers are 260, 789, 345, 674

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

Apply this formula for all numbers.

Step1:

LCM(260, 789) = 205140

GCD(260, 789) = ( 260 x 789 ) / 205140

= 260 / 789

= 260

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 260, 789, 345, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 575, 224, 107
• GCD of 950, 803, 267, 131
• GCD of 498, 886, 138, 704
• GCD of 574, 367, 134, 529
• GCD of 232, 502, 656, 691

Given numbers are 260, 789, 345, 674
The greatest common divisor of numbers 260, 789, 345, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 789, 345, 674 is 1.

1. What is the GCD of 260, 789, 345, 674?

GCD of given numbers 260, 789, 345, 674 is 1

2. How to calculate the greatest common divisor of 260, 789, 345, 674?

We can find the highest common divisor of 260, 789, 345, 674 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 260, 789, 345, 674 i.e 1.

3. How can I use the GCD of 260, 789, 345, 674Calculator?

Out the numbers 260, 789, 345, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.