GCD of 342, 784, 272, 780 Calculator

Given Input numbers are 342, 784, 272, 780

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 784, 272, 780) = 2.

Given numbers are 342, 784, 272, 780

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 342, 784, 272, 780 is 2.

Given numbers are 342, 784, 272, 780

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

Apply this formula for all numbers.

Step1:

LCM(342, 784) = 134064

GCD(342, 784) = ( 342 x 784 ) / 134064

= 342 / 784

= 342

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 342, 784, 272, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 548, 711, 880
• GCD of 501, 932, 540, 154
• GCD of 779, 125, 633, 795
• GCD of 248, 393, 639, 313
• GCD of 778, 722, 233, 578

Given numbers are 342, 784, 272, 780
The greatest common divisor of numbers 342, 784, 272, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 784, 272, 780 is 2.

1. What is the GCD of 342, 784, 272, 780?

GCD of given numbers 342, 784, 272, 780 is 2

2. How to calculate the greatest common divisor of 342, 784, 272, 780?

We can find the highest common divisor of 342, 784, 272, 780 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 342, 784, 272, 780 i.e 2.

3. How can I use the GCD of 342, 784, 272, 780Calculator?

Out the numbers 342, 784, 272, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.