GCD of 742, 671, 497, 689 Calculator

Given Input numbers are 742, 671, 497, 689

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 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (742, 671, 497, 689) = 1.

Given numbers are 742, 671, 497, 689

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 671 are 11 x 61

Prime factors of 497 are 7 x 71

Prime factors of 689 are 13 x 53

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

Given numbers are 742, 671, 497, 689

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

Apply this formula for all numbers.

Step1:

LCM(742, 671) = 497882

GCD(742, 671) = ( 742 x 671 ) / 497882

= 742 / 671

= 742

Step2:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 742, 671, 497, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 879, 350, 909
• GCD of 962, 668, 844, 462
• GCD of 212, 372, 964, 912
• GCD of 270, 577, 229, 659
• GCD of 301, 986, 404, 933

Given numbers are 742, 671, 497, 689
The greatest common divisor of numbers 742, 671, 497, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 671, 497, 689 is 1.

1. What is the GCD of 742, 671, 497, 689?

GCD of given numbers 742, 671, 497, 689 is 1

2. How to calculate the greatest common divisor of 742, 671, 497, 689?

We can find the highest common divisor of 742, 671, 497, 689 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, 671, 497, 689 i.e 1.

3. How can I use the GCD of 742, 671, 497, 689Calculator?

Out the numbers 742, 671, 497, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.