GCD of 689, 490, 828, 743 Calculator

Given Input numbers are 689, 490, 828, 743

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (689, 490, 828, 743) = 1.

Given numbers are 689, 490, 828, 743

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 490 are 2 x 5 x 7 x 7

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

Prime factors of 743 are 743

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

Given numbers are 689, 490, 828, 743

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

Apply this formula for all numbers.

Step1:

LCM(689, 490) = 337610

GCD(689, 490) = ( 689 x 490 ) / 337610

= 689 / 490

= 689

Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 689, 490, 828, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 639, 316, 940
• GCD of 427, 136, 996, 533
• GCD of 469, 831, 487, 375
• GCD of 964, 573, 147, 438
• GCD of 716, 903, 621, 258

Given numbers are 689, 490, 828, 743
The greatest common divisor of numbers 689, 490, 828, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 490, 828, 743 is 1.

1. What is the GCD of 689, 490, 828, 743?

GCD of given numbers 689, 490, 828, 743 is 1

2. How to calculate the greatest common divisor of 689, 490, 828, 743?

We can find the highest common divisor of 689, 490, 828, 743 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 689, 490, 828, 743 i.e 1.

3. How can I use the GCD of 689, 490, 828, 743Calculator?

Out the numbers 689, 490, 828, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.