GCD of 842, 424, 714, 689 Calculator

Given Input numbers are 842, 424, 714, 689

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 (842, 424, 714, 689) = 1.

Given numbers are 842, 424, 714, 689

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 714 are 2 x 3 x 7 x 17

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 842, 424, 714, 689

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

Apply this formula for all numbers.

Step1:

LCM(842, 424) = 178504

GCD(842, 424) = ( 842 x 424 ) / 178504

= 842 / 424

= 842

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 842, 424, 714, 689 is 1

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• GCD of 987, 154, 631, 243
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Given numbers are 842, 424, 714, 689
The greatest common divisor of numbers 842, 424, 714, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 424, 714, 689 is 1.

1. What is the GCD of 842, 424, 714, 689?

GCD of given numbers 842, 424, 714, 689 is 1

2. How to calculate the greatest common divisor of 842, 424, 714, 689?

We can find the highest common divisor of 842, 424, 714, 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 842, 424, 714, 689 i.e 1.

3. How can I use the GCD of 842, 424, 714, 689Calculator?

Out the numbers 842, 424, 714, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.