GCD of 820, 132, 582, 746 Calculator

Given Input numbers are 820, 132, 582, 746

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (820, 132, 582, 746) = 2.

Given numbers are 820, 132, 582, 746

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

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

Prime factors of 582 are 2 x 3 x 97

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 820, 132, 582, 746 is 2.

Given numbers are 820, 132, 582, 746

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

Apply this formula for all numbers.

Step1:

LCM(820, 132) = 27060

GCD(820, 132) = ( 820 x 132 ) / 27060

= 820 / 132

= 820

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 820, 132, 582, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 383, 676, 369
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• GCD of 201, 429, 404, 542
• GCD of 435, 311, 955, 930
• GCD of 636, 761, 410, 366

Given numbers are 820, 132, 582, 746
The greatest common divisor of numbers 820, 132, 582, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 132, 582, 746 is 2.

1. What is the GCD of 820, 132, 582, 746?

GCD of given numbers 820, 132, 582, 746 is 2

2. How to calculate the greatest common divisor of 820, 132, 582, 746?

We can find the highest common divisor of 820, 132, 582, 746 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 820, 132, 582, 746 i.e 2.

3. How can I use the GCD of 820, 132, 582, 746Calculator?

Out the numbers 820, 132, 582, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.