GCD of 305, 770, 725, 342 Calculator

Given Input numbers are 305, 770, 725, 342

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (305, 770, 725, 342) = 1.

Given numbers are 305, 770, 725, 342

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 725 are 5 x 5 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 305, 770, 725, 342

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

Apply this formula for all numbers.

Step1:

LCM(305, 770) = 46970

GCD(305, 770) = ( 305 x 770 ) / 46970

= 305 / 770

= 305

Step2:

LCM(5, 725) = 725

GCD(5, 725) = ( 5 x 725 ) / 725

= 5 / 725

= 5

Step3:

LCM(5, 342) = 1710

GCD(5, 342) = ( 5 x 342 ) / 1710

= 5 / 342

= 5

So, Greatest Common Divisor of 305, 770, 725, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 218, 145, 256
• GCD of 642, 446, 616, 336
• GCD of 749, 564, 269, 260
• GCD of 583, 696, 164, 954
• GCD of 412, 194, 536, 874

Given numbers are 305, 770, 725, 342
The greatest common divisor of numbers 305, 770, 725, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 770, 725, 342 is 1.

1. What is the GCD of 305, 770, 725, 342?

GCD of given numbers 305, 770, 725, 342 is 1

2. How to calculate the greatest common divisor of 305, 770, 725, 342?

We can find the highest common divisor of 305, 770, 725, 342 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 305, 770, 725, 342 i.e 1.

3. How can I use the GCD of 305, 770, 725, 342Calculator?

Out the numbers 305, 770, 725, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.