GCD of 498, 599, 742, 685 Calculator

Given Input numbers are 498, 599, 742, 685

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 599 :

The positive integer divisors of 599 that completely divides 599 are.

1, 599

Divisors of 742 :

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

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

GCD of numbers is the greatest common divisor

So, the GCD (498, 599, 742, 685) = 1.

Given numbers are 498, 599, 742, 685

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 599 are 599

Prime factors of 742 are 2 x 7 x 53

Prime factors of 685 are 5 x 137

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

Given numbers are 498, 599, 742, 685

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

Apply this formula for all numbers.

Step1:

LCM(498, 599) = 298302

GCD(498, 599) = ( 498 x 599 ) / 298302

= 498 / 599

= 498

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1

So, Greatest Common Divisor of 498, 599, 742, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 781, 724, 136
• GCD of 968, 859, 223, 809
• GCD of 455, 295, 877, 281
• GCD of 832, 696, 395, 238
• GCD of 456, 310, 898, 965

Given numbers are 498, 599, 742, 685
The greatest common divisor of numbers 498, 599, 742, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 599, 742, 685 is 1.

1. What is the GCD of 498, 599, 742, 685?

GCD of given numbers 498, 599, 742, 685 is 1

2. How to calculate the greatest common divisor of 498, 599, 742, 685?

We can find the highest common divisor of 498, 599, 742, 685 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 498, 599, 742, 685 i.e 1.

3. How can I use the GCD of 498, 599, 742, 685Calculator?

Out the numbers 498, 599, 742, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.