GCD of 206, 740, 780, 772 Calculator

Given Input numbers are 206, 740, 780, 772

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (206, 740, 780, 772) = 2.

Given numbers are 206, 740, 780, 772

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 740 are 2 x 2 x 5 x 37

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

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 206, 740, 780, 772 is 2.

Given numbers are 206, 740, 780, 772

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

Apply this formula for all numbers.

Step1:

LCM(206, 740) = 76220

GCD(206, 740) = ( 206 x 740 ) / 76220

= 206 / 740

= 206

Step2:

LCM(2, 780) = 780

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

= 2 / 780

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 206, 740, 780, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 815, 309, 929
• GCD of 896, 647, 852, 260
• GCD of 262, 761, 747, 316
• GCD of 606, 269, 186, 610
• GCD of 120, 576, 865, 794

Given numbers are 206, 740, 780, 772
The greatest common divisor of numbers 206, 740, 780, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 740, 780, 772 is 2.

1. What is the GCD of 206, 740, 780, 772?

GCD of given numbers 206, 740, 780, 772 is 2

2. How to calculate the greatest common divisor of 206, 740, 780, 772?

We can find the highest common divisor of 206, 740, 780, 772 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 206, 740, 780, 772 i.e 2.

3. How can I use the GCD of 206, 740, 780, 772Calculator?

Out the numbers 206, 740, 780, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.