GCD of 428, 145, 744, 678 Calculator

Given Input numbers are 428, 145, 744, 678

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (428, 145, 744, 678) = 1.

Given numbers are 428, 145, 744, 678

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 145 are 5 x 29

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 428, 145, 744, 678

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

Apply this formula for all numbers.

Step1:

LCM(428, 145) = 62060

GCD(428, 145) = ( 428 x 145 ) / 62060

= 428 / 145

= 428

Step2:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 428, 145, 744, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 903, 531, 790
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Given numbers are 428, 145, 744, 678
The greatest common divisor of numbers 428, 145, 744, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 145, 744, 678 is 1.

1. What is the GCD of 428, 145, 744, 678?

GCD of given numbers 428, 145, 744, 678 is 1

2. How to calculate the greatest common divisor of 428, 145, 744, 678?

We can find the highest common divisor of 428, 145, 744, 678 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, 145, 744, 678 i.e 1.

3. How can I use the GCD of 428, 145, 744, 678Calculator?

Out the numbers 428, 145, 744, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.