GCD of 706, 900, 838, 428 Calculator

Given Input numbers are 706, 900, 838, 428

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (706, 900, 838, 428) = 2.

Given numbers are 706, 900, 838, 428

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 838 are 2 x 419

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 706, 900, 838, 428 is 2.

Given numbers are 706, 900, 838, 428

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

Apply this formula for all numbers.

Step1:

LCM(706, 900) = 317700

GCD(706, 900) = ( 706 x 900 ) / 317700

= 706 / 900

= 706

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 706, 900, 838, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 798, 600, 113
• GCD of 792, 382, 762, 376
• GCD of 462, 277, 306, 144
• GCD of 648, 383, 580, 154
• GCD of 100, 128, 769, 670

Given numbers are 706, 900, 838, 428
The greatest common divisor of numbers 706, 900, 838, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 900, 838, 428 is 2.

1. What is the GCD of 706, 900, 838, 428?

GCD of given numbers 706, 900, 838, 428 is 2

2. How to calculate the greatest common divisor of 706, 900, 838, 428?

We can find the highest common divisor of 706, 900, 838, 428 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 706, 900, 838, 428 i.e 2.

3. How can I use the GCD of 706, 900, 838, 428Calculator?

Out the numbers 706, 900, 838, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.