GCD of 738, 380, 514, 492 Calculator

Given Input numbers are 738, 380, 514, 492

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (738, 380, 514, 492) = 2.

Given numbers are 738, 380, 514, 492

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 514 are 2 x 257

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 738, 380, 514, 492 is 2.

Given numbers are 738, 380, 514, 492

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

Apply this formula for all numbers.

Step1:

LCM(738, 380) = 140220

GCD(738, 380) = ( 738 x 380 ) / 140220

= 738 / 380

= 738

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 738, 380, 514, 492 is 2

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• GCD of 419, 438, 830, 516
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Given numbers are 738, 380, 514, 492
The greatest common divisor of numbers 738, 380, 514, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 380, 514, 492 is 2.

1. What is the GCD of 738, 380, 514, 492?

GCD of given numbers 738, 380, 514, 492 is 2

2. How to calculate the greatest common divisor of 738, 380, 514, 492?

We can find the highest common divisor of 738, 380, 514, 492 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, 380, 514, 492 i.e 2.

3. How can I use the GCD of 738, 380, 514, 492Calculator?

Out the numbers 738, 380, 514, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.