GCD of 748, 786, 784, 820 Calculator

Given Input numbers are 748, 786, 784, 820

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

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 820 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (748, 786, 784, 820) = 2.

Given numbers are 748, 786, 784, 820

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 786 are 2 x 3 x 131

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

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

The highest common occurrence is 2¹

Therefore, GCD of 748, 786, 784, 820 is 2.

Given numbers are 748, 786, 784, 820

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

Apply this formula for all numbers.

Step1:

LCM(748, 786) = 293964

GCD(748, 786) = ( 748 x 786 ) / 293964

= 748 / 786

= 748

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 748, 786, 784, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 393, 338, 803
• GCD of 788, 226, 891, 448
• GCD of 939, 718, 177, 704
• GCD of 190, 224, 280, 332
• GCD of 667, 715, 744, 776

Given numbers are 748, 786, 784, 820
The greatest common divisor of numbers 748, 786, 784, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 786, 784, 820 is 2.

1. What is the GCD of 748, 786, 784, 820?

GCD of given numbers 748, 786, 784, 820 is 2

2. How to calculate the greatest common divisor of 748, 786, 784, 820?

We can find the highest common divisor of 748, 786, 784, 820 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 748, 786, 784, 820 i.e 2.

3. How can I use the GCD of 748, 786, 784, 820Calculator?

Out the numbers 748, 786, 784, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.