GCD of 334, 900, 430, 684 Calculator

Given Input numbers are 334, 900, 430, 684

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 430 :

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

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (334, 900, 430, 684) = 2.

Given numbers are 334, 900, 430, 684

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 430 are 2 x 5 x 43

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 334, 900, 430, 684 is 2.

Given numbers are 334, 900, 430, 684

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

Apply this formula for all numbers.

Step1:

LCM(334, 900) = 150300

GCD(334, 900) = ( 334 x 900 ) / 150300

= 334 / 900

= 334

Step2:

LCM(2, 430) = 430

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

= 2 / 430

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 334, 900, 430, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 473, 826, 314
• GCD of 273, 466, 173, 819
• GCD of 615, 156, 594, 165
• GCD of 988, 786, 915, 685
• GCD of 480, 442, 933, 254

Given numbers are 334, 900, 430, 684
The greatest common divisor of numbers 334, 900, 430, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 900, 430, 684 is 2.

1. What is the GCD of 334, 900, 430, 684?

GCD of given numbers 334, 900, 430, 684 is 2

2. How to calculate the greatest common divisor of 334, 900, 430, 684?

We can find the highest common divisor of 334, 900, 430, 684 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 334, 900, 430, 684 i.e 2.

3. How can I use the GCD of 334, 900, 430, 684Calculator?

Out the numbers 334, 900, 430, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.