GCD of 738, 220, 418, 302 Calculator

Given Input numbers are 738, 220, 418, 302

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (738, 220, 418, 302) = 2.

Given numbers are 738, 220, 418, 302

The list of prime factors of all numbers are

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 418 are 2 x 11 x 19

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 738, 220, 418, 302 is 2.

Given numbers are 738, 220, 418, 302

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

Apply this formula for all numbers.

Step1:

LCM(738, 220) = 81180

GCD(738, 220) = ( 738 x 220 ) / 81180

= 738 / 220

= 738

Step2:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 738, 220, 418, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 227, 878, 371
• GCD of 103, 168, 290, 602
• GCD of 969, 664, 382, 182
• GCD of 767, 380, 850, 783
• GCD of 342, 225, 992, 418

Given numbers are 738, 220, 418, 302
The greatest common divisor of numbers 738, 220, 418, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 220, 418, 302 is 2.

1. What is the GCD of 738, 220, 418, 302?

GCD of given numbers 738, 220, 418, 302 is 2

2. How to calculate the greatest common divisor of 738, 220, 418, 302?

We can find the highest common divisor of 738, 220, 418, 302 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, 220, 418, 302 i.e 2.

3. How can I use the GCD of 738, 220, 418, 302Calculator?

Out the numbers 738, 220, 418, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.