GCD of 688, 840, 338, 499 Calculator

Given Input numbers are 688, 840, 338, 499

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

GCD of numbers is the greatest common divisor

So, the GCD (688, 840, 338, 499) = 1.

Given numbers are 688, 840, 338, 499

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 338 are 2 x 13 x 13

Prime factors of 499 are 499

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

Given numbers are 688, 840, 338, 499

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

Apply this formula for all numbers.

Step1:

LCM(688, 840) = 72240

GCD(688, 840) = ( 688 x 840 ) / 72240

= 688 / 840

= 688

Step2:

LCM(8, 338) = 1352

GCD(8, 338) = ( 8 x 338 ) / 1352

= 8 / 338

= 8

Step3:

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

= 2 / 499

= 2

So, Greatest Common Divisor of 688, 840, 338, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 693, 123, 540
• GCD of 610, 855, 526, 899
• GCD of 960, 459, 152, 540
• GCD of 132, 553, 362, 952
• GCD of 524, 115, 352, 566

Given numbers are 688, 840, 338, 499
The greatest common divisor of numbers 688, 840, 338, 499 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 840, 338, 499 is 1.

1. What is the GCD of 688, 840, 338, 499?

GCD of given numbers 688, 840, 338, 499 is 1

2. How to calculate the greatest common divisor of 688, 840, 338, 499?

We can find the highest common divisor of 688, 840, 338, 499 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 688, 840, 338, 499 i.e 1.

3. How can I use the GCD of 688, 840, 338, 499Calculator?

Out the numbers 688, 840, 338, 499 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.