GCD of 132, 964, 294, 560 Calculator

Given Input numbers are 132, 964, 294, 560

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 (132, 964, 294, 560) = 2.

Given numbers are 132, 964, 294, 560

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 964 are 2 x 2 x 241

Prime factors of 294 are 2 x 3 x 7 x 7

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 132, 964, 294, 560 is 2.

Given numbers are 132, 964, 294, 560

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

Apply this formula for all numbers.

Step1:

LCM(132, 964) = 31812

GCD(132, 964) = ( 132 x 964 ) / 31812

= 132 / 964

= 132

Step2:

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

= 4 / 294

= 4

Step3:

LCM(2, 560) = 560

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

= 2 / 560

= 2

So, Greatest Common Divisor of 132, 964, 294, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 910, 753, 543
• GCD of 661, 167, 494, 973
• GCD of 945, 117, 958, 524
• GCD of 340, 677, 922, 383
• GCD of 508, 890, 899, 901

Given numbers are 132, 964, 294, 560
The greatest common divisor of numbers 132, 964, 294, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 964, 294, 560 is 2.

1. What is the GCD of 132, 964, 294, 560?

GCD of given numbers 132, 964, 294, 560 is 2

2. How to calculate the greatest common divisor of 132, 964, 294, 560?

We can find the highest common divisor of 132, 964, 294, 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 132, 964, 294, 560 i.e 2.

3. How can I use the GCD of 132, 964, 294, 560Calculator?

Out the numbers 132, 964, 294, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.