GCD of 428, 770, 695, 344 Calculator

Given Input numbers are 428, 770, 695, 344

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (428, 770, 695, 344) = 1.

Given numbers are 428, 770, 695, 344

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 695 are 5 x 139

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 428, 770, 695, 344

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

Apply this formula for all numbers.

Step1:

LCM(428, 770) = 164780

GCD(428, 770) = ( 428 x 770 ) / 164780

= 428 / 770

= 428

Step2:

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

= 2 / 695

= 2

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 428, 770, 695, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 611, 240, 973
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• GCD of 705, 678, 276, 285

Given numbers are 428, 770, 695, 344
The greatest common divisor of numbers 428, 770, 695, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 770, 695, 344 is 1.

1. What is the GCD of 428, 770, 695, 344?

GCD of given numbers 428, 770, 695, 344 is 1

2. How to calculate the greatest common divisor of 428, 770, 695, 344?

We can find the highest common divisor of 428, 770, 695, 344 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 428, 770, 695, 344 i.e 1.

3. How can I use the GCD of 428, 770, 695, 344Calculator?

Out the numbers 428, 770, 695, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.