GCD of 496, 742, 188, 730 Calculator

Given Input numbers are 496, 742, 188, 730

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (496, 742, 188, 730) = 2.

Given numbers are 496, 742, 188, 730

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 742 are 2 x 7 x 53

Prime factors of 188 are 2 x 2 x 47

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 496, 742, 188, 730 is 2.

Given numbers are 496, 742, 188, 730

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

Apply this formula for all numbers.

Step1:

LCM(496, 742) = 184016

GCD(496, 742) = ( 496 x 742 ) / 184016

= 496 / 742

= 496

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

So, Greatest Common Divisor of 496, 742, 188, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 690, 494, 835
• GCD of 654, 245, 396, 181
• GCD of 759, 451, 321, 914
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• GCD of 357, 274, 410, 378

Given numbers are 496, 742, 188, 730
The greatest common divisor of numbers 496, 742, 188, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 742, 188, 730 is 2.

1. What is the GCD of 496, 742, 188, 730?

GCD of given numbers 496, 742, 188, 730 is 2

2. How to calculate the greatest common divisor of 496, 742, 188, 730?

We can find the highest common divisor of 496, 742, 188, 730 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 496, 742, 188, 730 i.e 2.

3. How can I use the GCD of 496, 742, 188, 730Calculator?

Out the numbers 496, 742, 188, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.