GCD of 350, 506, 430, 588 Calculator

Given Input numbers are 350, 506, 430, 588

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

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

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

GCD of numbers is the greatest common divisor

So, the GCD (350, 506, 430, 588) = 2.

Given numbers are 350, 506, 430, 588

The list of prime factors of all numbers are

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

Prime factors of 506 are 2 x 11 x 23

Prime factors of 430 are 2 x 5 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 350, 506, 430, 588 is 2.

Given numbers are 350, 506, 430, 588

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

Apply this formula for all numbers.

Step1:

LCM(350, 506) = 88550

GCD(350, 506) = ( 350 x 506 ) / 88550

= 350 / 506

= 350

Step2:

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

= 2 / 430

= 2

Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

So, Greatest Common Divisor of 350, 506, 430, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 233, 730, 546
• GCD of 619, 651, 129, 228
• GCD of 246, 475, 717, 613
• GCD of 338, 559, 884, 131
• GCD of 307, 777, 167, 223

Given numbers are 350, 506, 430, 588
The greatest common divisor of numbers 350, 506, 430, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 506, 430, 588 is 2.

1. What is the GCD of 350, 506, 430, 588?

GCD of given numbers 350, 506, 430, 588 is 2

2. How to calculate the greatest common divisor of 350, 506, 430, 588?

We can find the highest common divisor of 350, 506, 430, 588 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 350, 506, 430, 588 i.e 2.

3. How can I use the GCD of 350, 506, 430, 588Calculator?

Out the numbers 350, 506, 430, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.