GCD of 428, 822, 484, 688 Calculator

Given Input numbers are 428, 822, 484, 688

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 822 :

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

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (428, 822, 484, 688) = 2.

Given numbers are 428, 822, 484, 688

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 822 are 2 x 3 x 137

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 428, 822, 484, 688 is 2.

Given numbers are 428, 822, 484, 688

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

Apply this formula for all numbers.

Step1:

LCM(428, 822) = 175908

GCD(428, 822) = ( 428 x 822 ) / 175908

= 428 / 822

= 428

Step2:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 428, 822, 484, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 549, 752, 107
• GCD of 715, 749, 735, 830
• GCD of 750, 840, 588, 208
• GCD of 884, 996, 548, 533
• GCD of 181, 850, 130, 848

Given numbers are 428, 822, 484, 688
The greatest common divisor of numbers 428, 822, 484, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 822, 484, 688 is 2.

1. What is the GCD of 428, 822, 484, 688?

GCD of given numbers 428, 822, 484, 688 is 2

2. How to calculate the greatest common divisor of 428, 822, 484, 688?

We can find the highest common divisor of 428, 822, 484, 688 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, 822, 484, 688 i.e 2.

3. How can I use the GCD of 428, 822, 484, 688Calculator?

Out the numbers 428, 822, 484, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.