GCD of 679, 584, 353, 420 Calculator

Given Input numbers are 679, 584, 353, 420

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

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (679, 584, 353, 420) = 1.

Given numbers are 679, 584, 353, 420

The list of prime factors of all numbers are

Prime factors of 679 are 7 x 97

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 353 are 353

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 679, 584, 353, 420

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

Apply this formula for all numbers.

Step1:

LCM(679, 584) = 396536

GCD(679, 584) = ( 679 x 584 ) / 396536

= 679 / 584

= 679

Step2:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 679, 584, 353, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 486, 157, 751
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• GCD of 834, 635, 248, 107
• GCD of 695, 159, 288, 358
• GCD of 295, 568, 107, 130

Given numbers are 679, 584, 353, 420
The greatest common divisor of numbers 679, 584, 353, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 679, 584, 353, 420 is 1.

1. What is the GCD of 679, 584, 353, 420?

GCD of given numbers 679, 584, 353, 420 is 1

2. How to calculate the greatest common divisor of 679, 584, 353, 420?

We can find the highest common divisor of 679, 584, 353, 420 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 679, 584, 353, 420 i.e 1.

3. How can I use the GCD of 679, 584, 353, 420Calculator?

Out the numbers 679, 584, 353, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.