GCD of 966, 526, 538, 560 Calculator

Given Input numbers are 966, 526, 538, 560

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

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

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (966, 526, 538, 560) = 2.

Given numbers are 966, 526, 538, 560

The list of prime factors of all numbers are

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

Prime factors of 526 are 2 x 263

Prime factors of 538 are 2 x 269

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 966, 526, 538, 560 is 2.

Given numbers are 966, 526, 538, 560

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

Apply this formula for all numbers.

Step1:

LCM(966, 526) = 254058

GCD(966, 526) = ( 966 x 526 ) / 254058

= 966 / 526

= 966

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 966, 526, 538, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 770, 239, 121
• GCD of 242, 206, 107, 938
• GCD of 647, 338, 482, 533
• GCD of 542, 328, 127, 798
• GCD of 893, 253, 660, 139

Given numbers are 966, 526, 538, 560
The greatest common divisor of numbers 966, 526, 538, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 526, 538, 560 is 2.

1. What is the GCD of 966, 526, 538, 560?

GCD of given numbers 966, 526, 538, 560 is 2

2. How to calculate the greatest common divisor of 966, 526, 538, 560?

We can find the highest common divisor of 966, 526, 538, 560 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 966, 526, 538, 560 i.e 2.

3. How can I use the GCD of 966, 526, 538, 560Calculator?

Out the numbers 966, 526, 538, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.