GCD of 752, 780, 338, 282 Calculator

Given Input numbers are 752, 780, 338, 282

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (752, 780, 338, 282) = 2.

Given numbers are 752, 780, 338, 282

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 752, 780, 338, 282 is 2.

Given numbers are 752, 780, 338, 282

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

Apply this formula for all numbers.

Step1:

LCM(752, 780) = 146640

GCD(752, 780) = ( 752 x 780 ) / 146640

= 752 / 780

= 752

Step2:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

Step3:

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

= 2 / 282

= 2

So, Greatest Common Divisor of 752, 780, 338, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 860, 546, 702
• GCD of 662, 691, 434, 523
• GCD of 869, 942, 791, 133
• GCD of 176, 581, 429, 561
• GCD of 211, 938, 186, 931

Given numbers are 752, 780, 338, 282
The greatest common divisor of numbers 752, 780, 338, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 780, 338, 282 is 2.

1. What is the GCD of 752, 780, 338, 282?

GCD of given numbers 752, 780, 338, 282 is 2

2. How to calculate the greatest common divisor of 752, 780, 338, 282?

We can find the highest common divisor of 752, 780, 338, 282 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 752, 780, 338, 282 i.e 2.

3. How can I use the GCD of 752, 780, 338, 282Calculator?

Out the numbers 752, 780, 338, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.