GCD of 294, 662, 588, 400 Calculator

Given Input numbers are 294, 662, 588, 400

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (294, 662, 588, 400) = 2.

Given numbers are 294, 662, 588, 400

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 662 are 2 x 331

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 294, 662, 588, 400 is 2.

Given numbers are 294, 662, 588, 400

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

Apply this formula for all numbers.

Step1:

LCM(294, 662) = 97314

GCD(294, 662) = ( 294 x 662 ) / 97314

= 294 / 662

= 294

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 294, 662, 588, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 678, 829, 291
• GCD of 422, 172, 235, 620
• GCD of 957, 638, 861, 187
• GCD of 602, 423, 228, 613
• GCD of 120, 141, 806, 797

Given numbers are 294, 662, 588, 400
The greatest common divisor of numbers 294, 662, 588, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 662, 588, 400 is 2.

1. What is the GCD of 294, 662, 588, 400?

GCD of given numbers 294, 662, 588, 400 is 2

2. How to calculate the greatest common divisor of 294, 662, 588, 400?

We can find the highest common divisor of 294, 662, 588, 400 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 294, 662, 588, 400 i.e 2.

3. How can I use the GCD of 294, 662, 588, 400Calculator?

Out the numbers 294, 662, 588, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.