GCD of 820, 260, 676, 738 Calculator

Given Input numbers are 820, 260, 676, 738

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

GCD of numbers is the greatest common divisor

So, the GCD (820, 260, 676, 738) = 2.

Given numbers are 820, 260, 676, 738

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 820, 260, 676, 738 is 2.

Given numbers are 820, 260, 676, 738

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

Apply this formula for all numbers.

Step1:

LCM(820, 260) = 10660

GCD(820, 260) = ( 820 x 260 ) / 10660

= 820 / 260

= 820

Step2:

LCM(20, 676) = 3380

GCD(20, 676) = ( 20 x 676 ) / 3380

= 20 / 676

= 20

Step3:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

So, Greatest Common Divisor of 820, 260, 676, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 388, 239, 652
• GCD of 614, 923, 737, 956
• GCD of 111, 719, 885, 722
• GCD of 579, 167, 929, 686
• GCD of 947, 498, 650, 157

Given numbers are 820, 260, 676, 738
The greatest common divisor of numbers 820, 260, 676, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 260, 676, 738 is 2.

1. What is the GCD of 820, 260, 676, 738?

GCD of given numbers 820, 260, 676, 738 is 2

2. How to calculate the greatest common divisor of 820, 260, 676, 738?

We can find the highest common divisor of 820, 260, 676, 738 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 820, 260, 676, 738 i.e 2.

3. How can I use the GCD of 820, 260, 676, 738Calculator?

Out the numbers 820, 260, 676, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.