GCD of 528, 420, 276, 822 Calculator

Given Input numbers are 528, 420, 276, 822

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (528, 420, 276, 822) = 6.

Given numbers are 528, 420, 276, 822

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 528, 420, 276, 822 is 6.

Given numbers are 528, 420, 276, 822

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

Apply this formula for all numbers.

Step1:

LCM(528, 420) = 18480

GCD(528, 420) = ( 528 x 420 ) / 18480

= 528 / 420

= 528

Step2:

LCM(12, 276) = 276

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

= 12 / 276

= 12

Step3:

LCM(12, 822) = 1644

GCD(12, 822) = ( 12 x 822 ) / 1644

= 12 / 822

= 12

So, Greatest Common Divisor of 528, 420, 276, 822 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 492, 546, 424
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• GCD of 955, 356, 961, 990
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• GCD of 893, 557, 496, 116

Given numbers are 528, 420, 276, 822
The greatest common divisor of numbers 528, 420, 276, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 420, 276, 822 is 6.

1. What is the GCD of 528, 420, 276, 822?

GCD of given numbers 528, 420, 276, 822 is 6

2. How to calculate the greatest common divisor of 528, 420, 276, 822?

We can find the highest common divisor of 528, 420, 276, 822 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 528, 420, 276, 822 i.e 6.

3. How can I use the GCD of 528, 420, 276, 822Calculator?

Out the numbers 528, 420, 276, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.