GCD of 742, 989, 359, 493 Calculator

Given Input numbers are 742, 989, 359, 493

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 493 :

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

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (742, 989, 359, 493) = 1.

Given numbers are 742, 989, 359, 493

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 989 are 23 x 43

Prime factors of 359 are 359

Prime factors of 493 are 17 x 29

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

Given numbers are 742, 989, 359, 493

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

Apply this formula for all numbers.

Step1:

LCM(742, 989) = 733838

GCD(742, 989) = ( 742 x 989 ) / 733838

= 742 / 989

= 742

Step2:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1

So, Greatest Common Divisor of 742, 989, 359, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 308, 279, 670
• GCD of 433, 343, 194, 564
• GCD of 399, 614, 281, 467
• GCD of 179, 888, 458, 491
• GCD of 257, 489, 813, 426

Given numbers are 742, 989, 359, 493
The greatest common divisor of numbers 742, 989, 359, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 989, 359, 493 is 1.

1. What is the GCD of 742, 989, 359, 493?

GCD of given numbers 742, 989, 359, 493 is 1

2. How to calculate the greatest common divisor of 742, 989, 359, 493?

We can find the highest common divisor of 742, 989, 359, 493 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 742, 989, 359, 493 i.e 1.

3. How can I use the GCD of 742, 989, 359, 493Calculator?

Out the numbers 742, 989, 359, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.