GCD of 738, 638, 340, 350 Calculator

Given Input numbers are 738, 638, 340, 350

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 638 :

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

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (738, 638, 340, 350) = 2.

Given numbers are 738, 638, 340, 350

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 738, 638, 340, 350 is 2.

Given numbers are 738, 638, 340, 350

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

Apply this formula for all numbers.

Step1:

LCM(738, 638) = 235422

GCD(738, 638) = ( 738 x 638 ) / 235422

= 738 / 638

= 738

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 738, 638, 340, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 896, 859, 690
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Given numbers are 738, 638, 340, 350
The greatest common divisor of numbers 738, 638, 340, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 638, 340, 350 is 2.

1. What is the GCD of 738, 638, 340, 350?

GCD of given numbers 738, 638, 340, 350 is 2

2. How to calculate the greatest common divisor of 738, 638, 340, 350?

We can find the highest common divisor of 738, 638, 340, 350 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, 638, 340, 350 i.e 2.

3. How can I use the GCD of 738, 638, 340, 350Calculator?

Out the numbers 738, 638, 340, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.