GCD of 588, 292, 350, 714 Calculator

Given Input numbers are 588, 292, 350, 714

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

GCD of numbers is the greatest common divisor

So, the GCD (588, 292, 350, 714) = 2.

Given numbers are 588, 292, 350, 714

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 292 are 2 x 2 x 73

Prime factors of 350 are 2 x 5 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 588, 292, 350, 714 is 2.

Given numbers are 588, 292, 350, 714

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

Apply this formula for all numbers.

Step1:

LCM(588, 292) = 42924

GCD(588, 292) = ( 588 x 292 ) / 42924

= 588 / 292

= 588

Step2:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

Step3:

LCM(2, 714) = 714

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

= 2 / 714

= 2

So, Greatest Common Divisor of 588, 292, 350, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 336, 474, 807
• GCD of 795, 254, 428, 621
• GCD of 330, 572, 885, 843
• GCD of 119, 257, 535, 732
• GCD of 871, 108, 434, 871

Given numbers are 588, 292, 350, 714
The greatest common divisor of numbers 588, 292, 350, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 292, 350, 714 is 2.

1. What is the GCD of 588, 292, 350, 714?

GCD of given numbers 588, 292, 350, 714 is 2

2. How to calculate the greatest common divisor of 588, 292, 350, 714?

We can find the highest common divisor of 588, 292, 350, 714 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 588, 292, 350, 714 i.e 2.

3. How can I use the GCD of 588, 292, 350, 714Calculator?

Out the numbers 588, 292, 350, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.