GCD of 362, 828, 689, 748 Calculator

Given Input numbers are 362, 828, 689, 748

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 828, 689, 748) = 1.

Given numbers are 362, 828, 689, 748

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 689 are 13 x 53

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 362, 828, 689, 748

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

Apply this formula for all numbers.

Step1:

LCM(362, 828) = 149868

GCD(362, 828) = ( 362 x 828 ) / 149868

= 362 / 828

= 362

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 362, 828, 689, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 214, 150, 234
• GCD of 837, 368, 822, 170
• GCD of 412, 600, 382, 212
• GCD of 740, 295, 633, 868
• GCD of 129, 487, 997, 537

Given numbers are 362, 828, 689, 748
The greatest common divisor of numbers 362, 828, 689, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 828, 689, 748 is 1.

1. What is the GCD of 362, 828, 689, 748?

GCD of given numbers 362, 828, 689, 748 is 1

2. How to calculate the greatest common divisor of 362, 828, 689, 748?

We can find the highest common divisor of 362, 828, 689, 748 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 362, 828, 689, 748 i.e 1.

3. How can I use the GCD of 362, 828, 689, 748Calculator?

Out the numbers 362, 828, 689, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.