GCD of 738, 128, 508, 919 Calculator

Given Input numbers are 738, 128, 508, 919

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

GCD of numbers is the greatest common divisor

So, the GCD (738, 128, 508, 919) = 1.

Given numbers are 738, 128, 508, 919

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 508 are 2 x 2 x 127

Prime factors of 919 are 919

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

Given numbers are 738, 128, 508, 919

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

Apply this formula for all numbers.

Step1:

LCM(738, 128) = 47232

GCD(738, 128) = ( 738 x 128 ) / 47232

= 738 / 128

= 738

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

= 2 / 919

= 2

So, Greatest Common Divisor of 738, 128, 508, 919 is 1

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• GCD of 278, 961, 295, 299
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Given numbers are 738, 128, 508, 919
The greatest common divisor of numbers 738, 128, 508, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 128, 508, 919 is 1.

1. What is the GCD of 738, 128, 508, 919?

GCD of given numbers 738, 128, 508, 919 is 1

2. How to calculate the greatest common divisor of 738, 128, 508, 919?

We can find the highest common divisor of 738, 128, 508, 919 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 738, 128, 508, 919 i.e 1.

3. How can I use the GCD of 738, 128, 508, 919Calculator?

Out the numbers 738, 128, 508, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.