GCD of 434, 684, 564, 380 Calculator

Given Input numbers are 434, 684, 564, 380

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (434, 684, 564, 380) = 2.

Given numbers are 434, 684, 564, 380

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 434, 684, 564, 380 is 2.

Given numbers are 434, 684, 564, 380

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

Apply this formula for all numbers.

Step1:

LCM(434, 684) = 148428

GCD(434, 684) = ( 434 x 684 ) / 148428

= 434 / 684

= 434

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 434, 684, 564, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 314, 598, 867
• GCD of 470, 664, 509, 971
• GCD of 758, 570, 820, 637
• GCD of 874, 397, 872, 360
• GCD of 123, 646, 426, 286

Given numbers are 434, 684, 564, 380
The greatest common divisor of numbers 434, 684, 564, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 684, 564, 380 is 2.

1. What is the GCD of 434, 684, 564, 380?

GCD of given numbers 434, 684, 564, 380 is 2

2. How to calculate the greatest common divisor of 434, 684, 564, 380?

We can find the highest common divisor of 434, 684, 564, 380 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 434, 684, 564, 380 i.e 2.

3. How can I use the GCD of 434, 684, 564, 380Calculator?

Out the numbers 434, 684, 564, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.