GCD of 743, 489, 648, 676 Calculator

Given Input numbers are 743, 489, 648, 676

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

Divisors of 743 :

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

1, 743

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (743, 489, 648, 676) = 1.

Given numbers are 743, 489, 648, 676

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 489 are 3 x 163

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

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

Given numbers are 743, 489, 648, 676

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

Apply this formula for all numbers.

Step1:

LCM(743, 489) = 363327

GCD(743, 489) = ( 743 x 489 ) / 363327

= 743 / 489

= 743

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 743, 489, 648, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 803, 205, 951
• GCD of 981, 108, 296, 325
• GCD of 494, 434, 442, 532
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• GCD of 668, 799, 877, 777

Given numbers are 743, 489, 648, 676
The greatest common divisor of numbers 743, 489, 648, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 489, 648, 676 is 1.

1. What is the GCD of 743, 489, 648, 676?

GCD of given numbers 743, 489, 648, 676 is 1

2. How to calculate the greatest common divisor of 743, 489, 648, 676?

We can find the highest common divisor of 743, 489, 648, 676 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 743, 489, 648, 676 i.e 1.

3. How can I use the GCD of 743, 489, 648, 676Calculator?

Out the numbers 743, 489, 648, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.