GCD of 628, 292, 894, 600 Calculator

Given Input numbers are 628, 292, 894, 600

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (628, 292, 894, 600) = 2.

Given numbers are 628, 292, 894, 600

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 292 are 2 x 2 x 73

Prime factors of 894 are 2 x 3 x 149

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 628, 292, 894, 600 is 2.

Given numbers are 628, 292, 894, 600

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

Apply this formula for all numbers.

Step1:

LCM(628, 292) = 45844

GCD(628, 292) = ( 628 x 292 ) / 45844

= 628 / 292

= 628

Step2:

LCM(4, 894) = 1788

GCD(4, 894) = ( 4 x 894 ) / 1788

= 4 / 894

= 4

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 628, 292, 894, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 470, 127, 458
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• GCD of 135, 648, 665, 966
• GCD of 743, 989, 380, 535
• GCD of 804, 995, 138, 430

Given numbers are 628, 292, 894, 600
The greatest common divisor of numbers 628, 292, 894, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 292, 894, 600 is 2.

1. What is the GCD of 628, 292, 894, 600?

GCD of given numbers 628, 292, 894, 600 is 2

2. How to calculate the greatest common divisor of 628, 292, 894, 600?

We can find the highest common divisor of 628, 292, 894, 600 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 628, 292, 894, 600 i.e 2.

3. How can I use the GCD of 628, 292, 894, 600Calculator?

Out the numbers 628, 292, 894, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.