GCD of 428, 346, 820, 264 Calculator

Given Input numbers are 428, 346, 820, 264

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (428, 346, 820, 264) = 2.

Given numbers are 428, 346, 820, 264

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 346 are 2 x 173

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 428, 346, 820, 264 is 2.

Given numbers are 428, 346, 820, 264

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

Apply this formula for all numbers.

Step1:

LCM(428, 346) = 74044

GCD(428, 346) = ( 428 x 346 ) / 74044

= 428 / 346

= 428

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 428, 346, 820, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 430, 513, 880
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• GCD of 182, 120, 381, 417
• GCD of 566, 226, 551, 789

Given numbers are 428, 346, 820, 264
The greatest common divisor of numbers 428, 346, 820, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 346, 820, 264 is 2.

1. What is the GCD of 428, 346, 820, 264?

GCD of given numbers 428, 346, 820, 264 is 2

2. How to calculate the greatest common divisor of 428, 346, 820, 264?

We can find the highest common divisor of 428, 346, 820, 264 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 428, 346, 820, 264 i.e 2.

3. How can I use the GCD of 428, 346, 820, 264Calculator?

Out the numbers 428, 346, 820, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.