GCD of 434, 572, 940, 966 Calculator

Given Input numbers are 434, 572, 940, 966

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (434, 572, 940, 966) = 2.

Given numbers are 434, 572, 940, 966

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 434, 572, 940, 966 is 2.

Given numbers are 434, 572, 940, 966

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

Apply this formula for all numbers.

Step1:

LCM(434, 572) = 124124

GCD(434, 572) = ( 434 x 572 ) / 124124

= 434 / 572

= 434

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 434, 572, 940, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 284, 409, 408
• GCD of 957, 350, 918, 971
• GCD of 114, 817, 504, 432
• GCD of 565, 109, 273, 837
• GCD of 260, 483, 379, 885

Given numbers are 434, 572, 940, 966
The greatest common divisor of numbers 434, 572, 940, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 572, 940, 966 is 2.

1. What is the GCD of 434, 572, 940, 966?

GCD of given numbers 434, 572, 940, 966 is 2

2. How to calculate the greatest common divisor of 434, 572, 940, 966?

We can find the highest common divisor of 434, 572, 940, 966 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, 572, 940, 966 i.e 2.

3. How can I use the GCD of 434, 572, 940, 966Calculator?

Out the numbers 434, 572, 940, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.