GCD of 664, 240, 782, 338 Calculator

Given Input numbers are 664, 240, 782, 338

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (664, 240, 782, 338) = 2.

Given numbers are 664, 240, 782, 338

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 782 are 2 x 17 x 23

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 664, 240, 782, 338 is 2.

Given numbers are 664, 240, 782, 338

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

Apply this formula for all numbers.

Step1:

LCM(664, 240) = 19920

GCD(664, 240) = ( 664 x 240 ) / 19920

= 664 / 240

= 664

Step2:

LCM(8, 782) = 3128

GCD(8, 782) = ( 8 x 782 ) / 3128

= 8 / 782

= 8

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 664, 240, 782, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 522, 803, 920
• GCD of 710, 213, 281, 354
• GCD of 771, 831, 676, 755
• GCD of 636, 104, 780, 373
• GCD of 707, 270, 830, 883

Given numbers are 664, 240, 782, 338
The greatest common divisor of numbers 664, 240, 782, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 240, 782, 338 is 2.

1. What is the GCD of 664, 240, 782, 338?

GCD of given numbers 664, 240, 782, 338 is 2

2. How to calculate the greatest common divisor of 664, 240, 782, 338?

We can find the highest common divisor of 664, 240, 782, 338 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 664, 240, 782, 338 i.e 2.

3. How can I use the GCD of 664, 240, 782, 338Calculator?

Out the numbers 664, 240, 782, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.