GCD of 638, 742, 744, 946 Calculator

Given Input numbers are 638, 742, 744, 946

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 742 :

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

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

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (638, 742, 744, 946) = 2.

Given numbers are 638, 742, 744, 946

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 638, 742, 744, 946 is 2.

Given numbers are 638, 742, 744, 946

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

Apply this formula for all numbers.

Step1:

LCM(638, 742) = 236698

GCD(638, 742) = ( 638 x 742 ) / 236698

= 638 / 742

= 638

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 638, 742, 744, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 850, 588, 308
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Given numbers are 638, 742, 744, 946
The greatest common divisor of numbers 638, 742, 744, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 742, 744, 946 is 2.

1. What is the GCD of 638, 742, 744, 946?

GCD of given numbers 638, 742, 744, 946 is 2

2. How to calculate the greatest common divisor of 638, 742, 744, 946?

We can find the highest common divisor of 638, 742, 744, 946 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 638, 742, 744, 946 i.e 2.

3. How can I use the GCD of 638, 742, 744, 946Calculator?

Out the numbers 638, 742, 744, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.