GCD of 790, 400, 294, 450 Calculator

Given Input numbers are 790, 400, 294, 450

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (790, 400, 294, 450) = 2.

Given numbers are 790, 400, 294, 450

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

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

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 790, 400, 294, 450 is 2.

Given numbers are 790, 400, 294, 450

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

Apply this formula for all numbers.

Step1:

LCM(790, 400) = 31600

GCD(790, 400) = ( 790 x 400 ) / 31600

= 790 / 400

= 790

Step2:

LCM(10, 294) = 1470

GCD(10, 294) = ( 10 x 294 ) / 1470

= 10 / 294

= 10

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 790, 400, 294, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 328, 893, 549
• GCD of 946, 792, 617, 905
• GCD of 581, 598, 730, 809
• GCD of 465, 122, 799, 972
• GCD of 814, 835, 567, 313

Given numbers are 790, 400, 294, 450
The greatest common divisor of numbers 790, 400, 294, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 400, 294, 450 is 2.

1. What is the GCD of 790, 400, 294, 450?

GCD of given numbers 790, 400, 294, 450 is 2

2. How to calculate the greatest common divisor of 790, 400, 294, 450?

We can find the highest common divisor of 790, 400, 294, 450 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 790, 400, 294, 450 i.e 2.

3. How can I use the GCD of 790, 400, 294, 450Calculator?

Out the numbers 790, 400, 294, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.