GCD of 135, 428, 745, 774 Calculator

Given Input numbers are 135, 428, 745, 774

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (135, 428, 745, 774) = 1.

Given numbers are 135, 428, 745, 774

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 428 are 2 x 2 x 107

Prime factors of 745 are 5 x 149

Prime factors of 774 are 2 x 3 x 3 x 43

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

Given numbers are 135, 428, 745, 774

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

Apply this formula for all numbers.

Step1:

LCM(135, 428) = 57780

GCD(135, 428) = ( 135 x 428 ) / 57780

= 135 / 428

= 135

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

= 1 / 774

= 1

So, Greatest Common Divisor of 135, 428, 745, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 311, 229, 111
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• GCD of 520, 543, 784, 140
• GCD of 498, 368, 469, 628
• GCD of 819, 908, 320, 951

Given numbers are 135, 428, 745, 774
The greatest common divisor of numbers 135, 428, 745, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 428, 745, 774 is 1.

1. What is the GCD of 135, 428, 745, 774?

GCD of given numbers 135, 428, 745, 774 is 1

2. How to calculate the greatest common divisor of 135, 428, 745, 774?

We can find the highest common divisor of 135, 428, 745, 774 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 135, 428, 745, 774 i.e 1.

3. How can I use the GCD of 135, 428, 745, 774Calculator?

Out the numbers 135, 428, 745, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.