GCD of 493, 743, 677, 289 Calculator

Given Input numbers are 493, 743, 677, 289

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 743 :

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

1, 743

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (493, 743, 677, 289) = 1.

Given numbers are 493, 743, 677, 289

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 743 are 743

Prime factors of 677 are 677

Prime factors of 289 are 17 x 17

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

Given numbers are 493, 743, 677, 289

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

Apply this formula for all numbers.

Step1:

LCM(493, 743) = 366299

GCD(493, 743) = ( 493 x 743 ) / 366299

= 493 / 743

= 493

Step2:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 493, 743, 677, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 673, 240, 606
• GCD of 390, 659, 696, 900
• GCD of 359, 182, 124, 228
• GCD of 115, 589, 502, 276
• GCD of 504, 521, 769, 682

Given numbers are 493, 743, 677, 289
The greatest common divisor of numbers 493, 743, 677, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 743, 677, 289 is 1.

1. What is the GCD of 493, 743, 677, 289?

GCD of given numbers 493, 743, 677, 289 is 1

2. How to calculate the greatest common divisor of 493, 743, 677, 289?

We can find the highest common divisor of 493, 743, 677, 289 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 493, 743, 677, 289 i.e 1.

3. How can I use the GCD of 493, 743, 677, 289Calculator?

Out the numbers 493, 743, 677, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.