GCD of 132, 768, 46, 840 Calculator

Given Input numbers are 132, 768, 46, 840

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (132, 768, 46, 840) = 2.

Given numbers are 132, 768, 46, 840

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 46 are 2 x 23

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 132, 768, 46, 840 is 2.

Given numbers are 132, 768, 46, 840

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

Apply this formula for all numbers.

Step1:

LCM(132, 768) = 8448

GCD(132, 768) = ( 132 x 768 ) / 8448

= 132 / 768

= 132

Step2:

LCM(12, 46) = 276

GCD(12, 46) = ( 12 x 46 ) / 276

= 12 / 46

= 12

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 132, 768, 46, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 230, 38, 282
• GCD of 678, 692, 58, 916
• GCD of 763, 350, 76, 248
• GCD of 195, 673, 23, 542
• GCD of 617, 445, 92, 837

Given numbers are 132, 768, 46, 840
The greatest common divisor of numbers 132, 768, 46, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 768, 46, 840 is 2.

1. What is the GCD of 132, 768, 46, 840?

GCD of given numbers 132, 768, 46, 840 is 2

2. How to calculate the greatest common divisor of 132, 768, 46, 840?

We can find the highest common divisor of 132, 768, 46, 840 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, 768, 46, 840 i.e 2.

3. How can I use the GCD of 132, 768, 46, 840Calculator?

Out the numbers 132, 768, 46, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.